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Embedded computer systems refer to specialized computer systems that integrate operating systems and functional software into computer hardware systems, are application centric, based on computer technology, and have tailorable software and hardware. They have strict requirements for real-time performance, reliability, cost, volume, and power consumption. The performance and security evaluation of embedded systems is an important aspect of the development, development, and integration process of embedded systems, which can provide various quantitative analysis basis for the development and technical transformation of embedded products. The performance and security evaluation of embedded systems is a very complex issue, and evaluators may have different understandings of the problem due to their different starting points and observation perspectives. The embedded computers' performance evaluation is a classical multiple-attribute decision-making (MADM) issue. In such paper, the generalized weighted geometric Bonferroni mean (GWGBM) operator is built for MADM with single-valued neutrosophic sets (SVNSs). Then, the single-valued neutrosophic number generalized power geometric BM (SVNNGPGBM) operator is built and then the MADM decision methods are proposed based on the SVNNGPGBM operator and power geometric (PG) operator. Finally, an example about embedded computers' performance evaluation and some comparative analysis were given to demonstrate the SVNNGPGBM method. [ABSTRACT FROM AUTHOR]

At present, the solidification of disciplines and majors in higher education, unclear training objectives, and the need to strengthen teacher information literacy are practical problems that constrain the optimization of the "artificial intelligence + " talent training model. Scientifically adjusting training objectives, upgrading the "artificial intelligence + " talent training model in higher education by integrating multi-disciplinary curriculum systems, strengthening school enterprise cooperation, industry education integration, establishing credit recognition mechanisms and diversified evaluation mechanisms. The quality evaluation of "Artificial Intelligence + " talent cultivation in higher education in the era of education informatization 2.0 is looked as the multiple-attribute decision-making (MADM) issue. In this paper, we extended the dual Hamy mean (DHM) operator and prioritized aggregation (PA) operator to 2-tuple linguistic neutrosophic sets (2TLNSs) to propose the 2-tuple linguistic neutrosophic prioritized DHM (2TLNPDHM) operator. Finally, a decision example for quality evaluation of "Artificial Intelligence + " talent cultivation in higher education in the era of education informatization 2.0 is employed to show the 2TLNPDHM operator. The main contributions of this study are summarized: (1) the 2TLNPDHM operator is built; (2) the 2TLNPDHM operator is designed to cope with the MADM with 2TLNNs; (3) an empirical real-life example for quality evaluation of "Artificial Intelligence + " talent cultivation in higher education in the era of education informatization 2.0 is supplied to proof the designed method; (4) some comparative decision studies are used to show the rationality of the 2TLNPDHM. [ABSTRACT FROM AUTHOR]

As a new form of teaching, blended teaching can integrate the advantages of classroom teaching and online teaching and improve the overall quality and effectiveness of English teaching under the premise of changing the orientation of teachers and students. The English blended teaching quality evaluation is a multiple attribute decision making (MADM) issue. Aczel-Alsina t-norm and t-conorm operations have the true advantage of changeability by adjusting a decision parameter. power averaging (PA) operator allowed decision attributes to strengthen each other through weight information during fusion, thereby eliminating the influence of subjective weights on the decision results. Motivate through classical Aczel-Alsina operators, PA operator and the single-valued neutrosophic sets (SVNSs), in this paper, the single-valued neutrosophic number Aczel-Alsina power averaging (SVNNAAPA) operator and the single-valued neutrosophic number Aczel-Alsina power weighted averaging (SVNNAAPWA) operator are constructed under SVNSs. The SVNNAAPWA operator is built for MADM. Eventually, an example about English blended teaching quality evaluation and some selected comparative decision analysis is used to depict the SVNNAAPWA method. [ABSTRACT FROM AUTHOR]

The "innovation and Entrepreneurship" education focuses on cultivating students' "innovation and Entrepreneurship" abilities, reflecting the fundamental requirements of economic progress and social development for the knowledge, ability, and quality structure of talents. Local universities should actively promote the reform of talent cultivation models, establish a scientific "innovation and Entrepreneurship" education target system based on the actual situation of the school, strengthen the construction of "innovation and Entrepreneurship" education courses, build various "innovation and Entrepreneurship" practice platforms, pay attention to the interaction between the first and second classrooms, as well as practical and training platforms, serve the growth and talent development of students, and achieve a comprehensive improvement in the quality of school education, teaching, and talent cultivation. The "innovation and Entrepreneurship" education quality evaluation of local colleges could be considered as multiple attribute decision-making (MADM). Recently, the Combined Compromise Solution (CoCoSo) method and information entropy method was employed to deal with MADM. The triangular fuzzy neutrosophic sets (TFNSs) are employed as a better tool for expressing uncertain information during the "innovation and Entrepreneurship" education quality evaluation of local colleges. In this paper, the triangular fuzzy neutrosophic number CoCoSo (TFNN-CoCoSo) based on the TFNN grey rational coefficients (TFNNGRC) from TFNN positive ideal solution (TFNNPIS) is constructed to cope with the MADM under TFNSs. The information entropy method is employed to compute the weight values based on the TFNNGRC from TFNNPIS under TFNSs. Finally, a numerical example of "innovation and Entrepreneurship" education quality evaluation of local colleges is constructed and some decision comparisons are constructed to verify the TFNN-CoCoSo method. [ABSTRACT FROM AUTHOR]

With the continuous improvement of modern basketball technology, higher requirements have been put forward for the personal abilities of basketball players. As the core of an organization, the offensive ability of a defender largely determines the team's performance. Therefore, it is necessary to objectively evaluate the attacking ability of defenders. Traditional techniques cannot objectively reflect the true level of players due to their strong subjectivity. Therefore, establishing a scientific evaluation technique is particularly important. The fuzzy comprehensive evaluation of attack ability of basketball defenders is viewed as the multi-attribute decision-making (MADM). In this paper, the triangular fuzzy neutrosophic number cross-entropy (TFNN-CE) technique is designed with help of cross-entropy and triangular fuzzy neutrosophic sets (TFNSs). Furthermore, Then, TFNN-CE technique is addressed to solve the MADM. Finally, a numerical example for fuzzy comprehensive evaluation of attack ability of basketball defenders is given and some comparisons are conducted to r illustrate advantages of the designed technique. The main contribution of this paper is addressed: (1) The TFNN-CE technique is addressed under TFNSs; (2) the TFNN-CE technique is addressed for MADM under TFNSs; (2) the TFNN-CE technique for fuzzy comprehensive evaluation of attack ability of basketball defenders is addressed; (3) Through the several efficient comparisons, it is addressed that TFNN-CE technique is effective for fuzzy comprehensive evaluation of attack ability of basketball defenders. [ABSTRACT FROM AUTHOR]

With the acceleration of urbanization and the significant improvement of people's living standards, the motorization of urban transportation in China has developed rapidly, and the number of urban motor vehicles has sharply increased. This has also caused a series of problems such as increasingly severe urban road traffic congestion, increased traffic energy consumption, and atmospheric environmental pollution. Unprecedented social and environmental pressures have put forward higher requirements for the development model of urban transportation. Against the backdrop of increasingly severe conflicts between urban transportation and resource environment in China, green transportation with the goal of "meeting maximum demand with minimum consumption" has gradually received widespread attention from the academic community. The urban green transportation development level evaluation is a classical multiple attribute decision making (MADM). In this paper, we define the triangular Pythagorean fuzzy sets (TPFSs) and investigate the MADM problems under TPFSs. Based on the traditional geometric BM (GBM) operator and generalized weighted GBM (GWGBM) operator, some triangular Pythagorean fuzzy operators are proposed: triangular Pythagorean fuzzy generalized GBM (TPFGGBM) operator and triangular Pythagorean fuzzy generalized WGBM (TPFGWGBM) operator. Accordingly, we have took advantage of these operators to develop some approaches to work out the triangular Pythagorean fuzzy MADM. Ultimately, a practical example for urban green transportation development level evaluation is took advantage of to validate the developed approach, and an influence analysis of the parameter on the final results is been presented to attest its availability and validity. [ABSTRACT FROM AUTHOR]

Background: This study aimed to assess the suitability of land for constructing an outdoor sports stadium in Ardebil Province, focusing on the climate. Methodology: Weather variables, such as mean temperature, snowfall, and rainfall, along with environmental factors, were considered. The evaluation utilized a combination of Multiple Attribute Decision Making (MADM), Fuzzy Analytic Network Process (FANP), and Geographic Information System (GIS). A separate layer was created for each variable and after determining their weights, overlaying the layers with fuzzing was used to identify optimal lands for sports facilities in Ardebil Province. Results: The findings indicated that snowy days and average temperature were the most significant factors influencing the selection of land for sports stadium construction in Ardebil Province with fuzzy degrees of 0.241 and 0.163, respectively. Among the environmental criteria, land slope and elevation were the most important factors for selecting land for sports stadium construction in Ardebil Province with fuzzy degrees of 0.294 and 0.166, respectively. The land suitability results revealed that areas in the northern half of Ardebil Province, particularly Moghan Plain, Garmi, Aslandoz, and Beile-Savar, were highly suitable for constructing a sports stadium. [ABSTRACT FROM AUTHOR]

Under the premise of today's socialist modernization construction, the development and progress of the country require more outstanding talents such as aspiring youth and intellectuals to participate, which puts forward higher requirements for education quality indicators and various aspects of operation. As the main institution and environment for implementing educational activities, the effectiveness of school management organization has a direct impact and even a decisive role on the quality of education. Therefore, how to improve the quality management of school education has become a hot topic in the education industry. The education quality management evaluation in higher education institutions is viewed as the multiple-attribute decision-making (MADM) issue. In this paper, the interval-valued neutrosophic number cross-entropy (IVNN-CE) technique is built under interval-valued neutrosophic sets (IVNSs) based on the traditional cross-entropy technique. Then, combine traditional cross-entropy technique with IVNSs, the IVNN-CE technique is constructed for MADM under IVNSs. Finally, the numerical example for education quality management evaluation in higher education institutions was constructed and some comparisons is employed to verify advantages of IVNN-CE technique. The main contribution of this paper is constructed: (1) the cross-entropy model is extended to IVNSs; (1) the CRITIC technique is employed to construct the attribute weights under IVNSs; (3) the IVNN-CE technique is constructed to manage the MADM under IVNSs; (4) a case study about education quality management evaluation in higher education institutions is constructed to show the built technique; (5) some comparative algorithms are constructed to verify the rationality of IVNN-CE technique. [ABSTRACT FROM AUTHOR]

Corporate culture has its own development laws and may play a significant role in a short period of time, but its development and improvement are a relatively long-term task. The construction of corporate culture is a systematic project that varies depending on the enterprise. For enterprises, the construction of corporate culture has very important practical significance for the re integration of the enterprise team and the enhancement of competitive strength. Culture is a productive force, and the role of corporate culture is more direct. Therefore, enterprises should focus on their own development goals, create their own unique corporate culture based on learning and reference, and meet market challenges with a new look and strong strength. The effectiveness evaluation of corporate culture construction is a classical multiple attribute decision making (MADM). Recently, the TODIM and VIKOR method has been used to cope with MADM issues. The neutrosophic cubic sets (NCSs) are used as a tool for characterizing uncertain information during the effectiveness evaluation of corporate culture construction. In this manuscript, the neutrosophic cubic number TODIM-VIKOR (NCN-TODIM-VIKOR) method is built to solve the MADM under NCSs. In the end, a numerical case study for effectiveness evaluation of corporate culture construction is given to validate the proposed method. The research aim of the paper is summarized: (1) the NCN-TODIM-VIKOR is proposed for MADM problem with NCSs; (2) The attributes weight information is obtained through information entropy; (3) the NCN-TODIM-VIKOR method is designed for effectiveness evaluation of corporate culture construction and were compared with some existing methods; (4) Through the comparison, it is found that NCN-TODIM-VIKOR method for effectiveness evaluation of corporate culture construction proposed are effective. [ABSTRACT FROM AUTHOR]

China's education has entered the era of quality, and in order for higher vocational colleges to develop better, effective measures must be taken to improve the quality of education. Facing the continuous innovation of education in higher vocational colleges, it is necessary to strengthen institutional construction and constrain educational management with institutional constraints, which is the key to ensuring the education quality. The higher vocational education quality evaluation in the new era is regarded as multiple attribute decision-making (MADM). Recently, the EDAS and CRITIC model has been employed to solve MAGDM. The triangular fuzzy neutrosophic sets (TFNSs) are constructed as an efficient tool for portraying the uncertain information during the higher vocational education quality evaluation in the new era. In this paper, the triangular fuzzy neutrosophic number EDAS (TFNN-EDAS) model based on the Hamming distance and Euclid distance is constructed to solve the MADM under TFNSs. The CRITIC method is utilized to obtain the weight information based on the Hamming distance and Euclid distance under INNSs. Finally, a numerical example of higher vocational education quality evaluation in the new era is constructed and some efficient comparisons are founded to verify the TFNN-EDAS method. [ABSTRACT FROM AUTHOR]

With the proposal of the "Double First Class" construction concept in Chinese universities, cultivating high-quality talents has become the main direction of university education. At present, local universities in China are actively adapting to the changes of the times, taking the construction of the Double First Class as an opportunity, continuously adjusting and deepening the reform of the double innovation and innovation talent cultivation mode, further improving the curriculum system, increasing investment in professional practical teaching, stimulating students' enthusiasm for innovation and entrepreneurship (IAE), and focusing on improving students' comprehensive abilities, achieving significant results in talent cultivation. The "Entrepreneurship and Entrepreneurship" career ability evaluation of local college students could be considered as multiple attribute decision-making (MADM). Recently, the Combined Compromise Solution (CoCoSo) method and information entropy method was employed to deal with MADM. The triangular fuzzy neutrosophic sets (TFNSs) are employed as a better tool for expressing uncertain information during the "Entrepreneurship and Entrepreneurship" career ability evaluation of local college students. In this paper, the triangular fuzzy neutrosophic number CoCoSo (TFNN-CoCoSo) based on the Hamming distance and Euclid distance is constructed to cope with the MADM under TFNSs. The information entropy method is employed to compute the weight values based on the Hamming distance and Euclid distance under TFNSs. Finally, a numerical example of "Entrepreneurship and Entrepreneurship" career ability evaluation of local college students is constructed and some decision comparisons are constructed to verify the TFNN-CoCoSo method. [ABSTRACT FROM AUTHOR]

At present, China's football sports are relatively backward in training theory and practice. If you want to break out of Asia and enter the world, and gain a firm foothold in the international football arena, you must use a scientific and realistic attitude, absorb the successful experience of advanced football countries, reflect on our training concepts and practices, and deeply study the training laws of football, in order to find a way suitable for our development. Athletes' competitive ability is the core issue of sports training. The failure of our football level is directly related to our systematic understanding of athletes' competitive ability. This problem has led to the separation of our training practice from the actual competition, making training unable to meet the needs of the competition. Only by solving this problem, can we improve the level of football in China. The football players' competitive ability evaluation is affirmed as multiple attribute decision making (MADM). In such paper, motivated by the idea of cotangent similarity measure (CSM), the CSMs are extended to DVNSs and four CSMs are created under DVNSs. Then, two weighted CSMs are built for MADM under DVNSs. Finally, a numerical example for Football players' competitive ability evaluation is affirmed and some comparative algorithms are produced to affirm the built method. [ABSTRACT FROM AUTHOR]

Beijing, Tianjin and Hebei are located in the Bohai Rim region of Northeast Asia, China. It is the region with the largest economic scale and strongest economic vitality in northern China. Due to historical development and administrative division, the economic strength of Beijing and Tianjin is strong, while the economic strength of Hebei Province is weak. The economic development of the Beijing-Tianjin-Hebei region is severely uneven. The "Beijing-Tianjin-Hebei Coordinated Development Strategy" is proposed and elevated to a national strategy in this context, aiming to explore the path of coordinated economic development in the Beijing-Tianjin-Hebei region, promote economic cooperation, balance economic differences, and enhance the overall economic strength of the Beijing Tianjin Hebei region through national leadership. The economic collaborative development evaluation in the Beijing-Tianjin-Hebei region is a classical multiple attribute decision making (MADM) problems. Recently, the TODIM and Evaluation based on Distance from Average Solution (EDAS) method has been used to cope with MADM issues. The hesitant triangular fuzzy sets (HTFSs) are used as a tool for characterizing uncertain information during the economic collaborative development evaluation in the Beijing-Tianjin-Hebei region. In this paper, the hesitant triangular fuzzy TODIM-EDAS (HTF-TODIM-EDAS) method is built to solve the MADM under HTFSs. In the end, a numerical case study for economic collaborative development evaluation in the Beijing-Tianjin-Hebei region is given to validate the proposed method. The main contributions of this paper are summarized: (1) the HTF-TODIM-EDAS method is proposed under HTFSs. (2) The MADM method is designed based on the information entropy and HTF-TODIM-EDAS method under HTFSs. (3) A numerical case study for economic collaborative development evaluation in the Beijing-Tianjin-Hebei region is given to validate the proposed method. (4) A comparison between proposed method and existing methods is carried out to check its effectiveness. [ABSTRACT FROM AUTHOR]

In recent years, with the rapid growth of the public's demand for cultural connotation and cultural taste of tourism products, promoting the rapid development of the integration of cultural tourism, the development of cultural tourism boom has been set off nationwide. Cultural tourism resources are the premise and foundation of cultural tourism development. With the rise of cultural tourism fever, the collation and excavation of the cultural connotation and cultural value of various types of cultural tourism resources around the world has entered a more in-depth stage, which undoubtedly promotes the industrial transformation and utilization of resources, but in terms of the evaluation of the value of resources, there are more qualitative evaluations and few quantitative evaluations, which is largely due to the current academic classification of cultural tourism resources is not uniform, so that the evaluation of resources This is largely due to the difficulty of establishing the index system in the current academic community. The comprehensive value evaluation of cultural tourism resources is looked as the multiple attribute decision making (MADM) issue. In this paper, we extended the dua Hamy mean (DHM) operator and power avergae (PA) operator to 2-tuple linguistic neutrosophic sets (2TLNSs) to propose the 2-tuple linguistic neutrosophic power DHM (2TLNPDHM) operator. Finally, a decision example for comprehensive value evaluation of cultural tourism resources is employed to show the 2TLNPDHM operator. [ABSTRACT FROM AUTHOR]

With the increasing maturity and widespread application of computer multimedia technology, many universities have attempted to use multimedia technology for English teaching in order to solve some of the difficulties and contradictions faced in current college English teaching practices. Practice has proven that multimedia teaching of college English not only increases the amount of information in classroom teaching, but also improves the effectiveness of classroom teaching. At the same time, due to deviations in understanding, lack of conditions, and improper operation in work, the normal functioning of multimedia teaching is also restricted, which affects the effectiveness of multimedia teaching in college English. How to carry out multimedia teaching of college English is indeed an important topic that needs further research. The fuzzy comprehensive evaluation of multimedia teaching effectiveness in college English is a classical multiple attribute decision making (MADM) problems. Recently, the TODIM and GRA method has been used to cope with MADM issues. The double-valued neutrosophic sets (DVNSs) are used as a tool for characterizing uncertain information during the fuzzy comprehensive evaluation of multimedia teaching effectiveness in college English. In this manuscript, the double-valued neutrosophic number Exponential TODIM-GRA (DVNN-ExpTODIM-GRA) method is built to solve the MADM under DVNSs. In the end, a numerical case study for fuzzy comprehensive evaluation of multimedia teaching effectiveness in college English is given to validate the proposed method. [ABSTRACT FROM AUTHOR]

Fermentation engineering is a technology that uses engineering technology to produce useful biological products for human beings by using certain functions of organisms (mainly microorganisms) and active isolated enzymes, or to directly control certain industrial production processes with the participation of microorganisms. With the progress of science and technology, fermentation technology has also developed greatly, and has entered the stage of modern fermentation engineering that can artificially control and modify microorganisms to make these microorganisms produce products for human beings. As an important part of modern biotechnology, modern fermentation engineering has a broad application prospect. The grain fermentation process quality evaluation is a classical MADM issues. In such paper, the generalized weighted Bonferroni mean (WBM) operator is constructed for MADM with single-valued neutrosophic sets (SVNSs). Then, the generalized single-valued neutrosophic number WBM (GSVNNWBM) operator is built and then the MADM decision methods are proposed based on the GSVNNWBM operator. Finally, an example about grain fermentation process quality comprehensive evaluation and some comparative analysis were given to demonstrate the GSVNNWBM method. [ABSTRACT FROM AUTHOR]

The activities in public places are becoming increasingly frequent, and public seats have become an important component of public space and an "auxiliary tool" for work, life, and leisure. The demand for such furniture in China is gradually increasing, but the design and research work of public seats is lagging behind the development status and speed of other civil and office furniture. Usually, public seats can be divided into two parts based on their usage: public indoor seats and public outdoor seats. How to understand the role and impact of public seats on the indoor environment, and how to establish a new design method for public seats in the context of the overall environmental system, are currently urgent issues to be solved. The chair furniture comfort design evaluation is a classical MADM issues. In such paper, the generalized weighted Bonferroni mean (WBM) operator and power average (PA) is constructed for MADM with single-valued neutrosophic sets (SVNSs). Then, the generalized single-valued neutrosophic number power WBM (GSVNNPWBM) operator is built and then the MADM decision methods are proposed based on the GSVNNPWBM operator. Finally, an example about chair furniture comfort design evaluation and some comparative analysis were given to demonstrate the GSVNNPWBM method. [ABSTRACT FROM AUTHOR]

The so-called "college English" teaching quality evaluation is to provide a basic, comprehensive, and realistic evaluation of the relevant aspects and management of teaching implementation on the basis of following the general laws of higher education; It is a comprehensive inspection of "College English" teaching and an important means of quality monitoring and policy adjustment for "College English". As mentioned earlier, teaching evaluation is a comprehensive evaluation of teaching. Therefore, our evaluation of the quality of university public education is actually an examination of our specific measures in evaluating teaching, teaching methods and methods, teaching literature, and other aspects. The college public English teaching quality evaluation is a classical multiple attribute decision making (MADM). In this paper, we define the triangular Pythagorean fuzzy sets (TPFSs) and investigate the MADM problems under TPFSs. Based on the traditional dual generalized weighted Bonferroni mean (DGWBM) operator and dual generalized weighted geometric Bonferroni mean (DGWGBM) operator, some triangular Pythagorean fuzzy operators are proposed: triangular Pythagorean fuzzy DGWBM (TPFDGWBM) operator and triangular Pythagorean fuzzy DGWGBM (TPFDGWGBM) operator. Accordingly, we have took advantage of these operators to develop some approaches to work out the triangular Pythagorean fuzzy MADM. Ultimately, a practical example for college public English teaching quality evaluation is took advantage of to validate the developed approach, and an influence analysis of the parameter on the final results is been presented to attest its availability and validity. [ABSTRACT FROM AUTHOR]

There is a huge number of small and medium-sized enterprises in China, playing an important role in the development of the market economy and being the main body of the real economy. The products and services they create account for more than half of the gross domestic product. At present, China's economy is gradually transitioning from a stage of rapid growth to a stage of high-quality development, and it is necessary to further stimulate its innovation drive and release innovation energy. As a component of the national economy, achieving high-quality development of small and medium-sized enterprises has become one of China's important strategic tasks. At present, the construction of the innovation service system for small and medium-sized enterprises in China is still in the initial stage, and there are still certain problems in the construction that need to be further improved. The core competitiveness evaluation of small and medium sized enterprises is a classical multiple attribute decision making (MADM) problems. Recently, the TODIM and TOPSIS method has been used to cope with MADM issues. The hesitant triangular fuzzy sets (HTFSs) are used as a tool for characterizing uncertain information during the core competitiveness evaluation of small and medium sized enterprises. In this manuscript, the hesitant triangular fuzzy TODIM-TOPSIS (HTF-TODIM-TOPSIS) method is built to solve the MADM under HTFSs. In the end, a numerical case study for core competitiveness evaluation of small and medium sized enterprises is given to validate the proposed method. [ABSTRACT FROM AUTHOR]

At the stage of college education, English is a very important subject, which is directly related to the enhancement of college students' English literacy and the improvement of their English level. From the perspective of mobile internet, the construction and application of college English intelligent classroom teaching mode can promote the reform and improvement of traditional English teaching mode. By giving full play to students' subjectivity, English teaching can be carried out in a modern teaching classroom environment, which is conducive to strengthening students' comprehensive English ability, which is also very important and meaningful for building an efficient college English classroom. The college English smart classroom (CESC) teaching quality evaluation is a classical multiple attribute decision making (MADM). In this paper, we define the triangular Pythagorean fuzzy set (TPFS) and investigate the multiple attribute decision making problems under it. Accordingly, we take advantage of traditional Bonferroni mean (BM) operator to develop some triangular Pythagorean fuzzy information operators: triangular Pythagorean fuzzy Bonferroni mean (TPFBM) operator and triangular Pythagorean fuzzy weighted Bonferroni mean (TPFWBM) operator. The dominating natures of these operators are researched. Accordingly, the TPFWBM operator is built for triangular Pythagorean fuzzy MADM. Ultimately, a practical example for CESC teaching quality evaluation is took advantage of to validate the developed approach. [ABSTRACT FROM AUTHOR]

At present, there is generally little research on intangible assets of sports events, and most of the research content focuses on general research on the meaning and content of intangible assets of sports events, the operation status of regional sports intangible assets, and development strategies of sports intangible assets. From the perspective of research results, only attention has been paid to the research on process management and process control of intangible assets of sports events, However, there is a lack of systematic research on the performance evaluation of intangible assets operation and management. It is necessary to build a scientific and reasonable performance evaluation system for intangible assets operation and management of sports events based on the content of intangible assets in sports events. The performance evaluation of intangible assets operation and management in sports events is multiple attribute decision making (MADM). Recently, the TODIM and VIKOR method has been used to cope with MADM issues. The double-valued neutrosophic sets (DVNSs) are used as a tool for characterizing uncertain information during the performance evaluation of intangible assets operation and management in sports events. In this manuscript, the double-valued neutrosophic number TODIM-VIKOR (DVNN-TODIM-VIKOR) method is built to solve the MADM under DVNSs. In the end, a numerical case study for performance evaluation of intangible assets operation and management in sports events is given to validate the proposed method. [ABSTRACT FROM AUTHOR]

Teaching quality is the foundation and lifeline of colleges and universities. To establish a distinctive university, we must adhere to the scientific concept of development, deepen teaching reform and improve teaching quality. The classroom teaching quality (CTQ) evaluation of college physical education (PE) is an essential part of the teaching process. Building a scientific, comprehensive, reasonable and effective evaluation system is crucial to improve the quality of college PE classroom teaching. This process is not easy and needs long-term efforts and persistence. The CTQ evaluation of college volleyball training is viewed as the multi-attribute decision-making (MADM). In this paper, we connect the geometric Heronian mean (GHM) operator and power geometric (PG) operator with 2-tuple linguistic neutrosophic sets (2TLNSs) to build the generalized 2-tuple linguistic neutrosophic numbers weighted power GHM (G2TLNWPGHM) operator. Then, the G2TLNWPGHM operator is used to tackle MADM with 2TLNSs. Finally, an example for CTQ evaluation of college volleyball training is used to show the proposed methods. [ABSTRACT FROM AUTHOR]

The evaluation of college physical education (PE) teaching quality is an indispensable part of the teaching process. Building a scientific, comprehensive, reasonable and effective evaluation system is crucial to improving the quality of college PE classroom teaching. This process is not easy, and requires long-term efforts and persistence. The PE teaching quality evaluation in Colleges and Universities is frequently viewed as the multiple attribute decision making (MADM) issue. In such paper, Taxonomy method is designed for MADM under double-valued neutrosophic sets (DVNSs). First, the score function of DVNSs and Criteria Importance Through Intercriteria Correlation (CRITIC) method is used to derive the attribute weights. Second, then, the optimal choice is obtained through calculating the smallest double-valued neutrosophic number (DVNN) development attribute values from the DVNN positive ideal solution (DVNNPIS). Finally, a numerical example for PE teaching quality evaluation is given to illustrate the built method. [ABSTRACT FROM AUTHOR]

Coal is a vital basic energy source for any economy in the world, and our country is no exception. Our coal resources are abundant, with high production and demand, not comparable to oil and natural gas. The coal supply chain plays an equally important role in economic production, but unfortunately, the current coal supply chain is not focused on greening while creating profits. Unfortunately, the current coal supply chain does not focus on green production and energy conservation and emission reduction while creating profits, which has caused irreversible harm and loss to resources and environment. This has caused irreversible damage and loss to resources and the environment. The green supplier selection for coal enterprises is affirmed as multiple attribute decision making (MADM). In such paper, motivated by the idea of cosine similarity measure (CSM), the CSMs are extended to DVNSs and four CSMs are created under DVNSs. Then, two weighted CSMs are built for MADM under DVNSs. Finally, a numerical example for Green supplier selection for coal enterprises is affirmed and some comparative algorithms are produced to affirm the built method. [ABSTRACT FROM AUTHOR]

Business English teaching quality evaluation Business English is a new type of composite specialty, which is a discipline innovation made by China's higher education to adapt to the new market demand and international standards since the reform and opening up. Over the past 20 years, it has cultivated a number of compound talents for the cause of China's reform and opening up. However, the backwardness of business English theoretical research has greatly restricted the development of business English. At present, Business English has been officially approved as a new major for undergraduate enrollment by the Ministry of Education of the People's Republic of China. Its subject nature, specialty structure, training objectives, and specialty compound characteristics need to be qualitatively studied theoretically. The business English teaching quality evaluation is viewed as the multiple attribute decision making (MADM) issue. In this paper, we connect the geometric Heronian mean (GHM) operator and power geometric (PG) with 2-tuple linguistic neutrosophic numbers (2TLNNs) to propose the generalized 2-tuple linguistic neutrosophic power geometric HM (G2TLNPGHM) operator. Then, the G2TLNGHM operator is applied to deal with the MADM problems under 2TLNNs. Finally, an example for business English teaching quality evaluation is used to show the proposed methods. Some comparative analysis and parameter influence analysis are fully given. The results show that the built algorithms method is useful for business English teaching quality evaluation. [ABSTRACT FROM AUTHOR]

The performance of green marketing refers to the realistic state of green marketing activities in terms of enterprise development, consumer demand and social ecological environment. These aspects are represented by the game equilibrium between green marketing subjects. The better the game equilibrium between green marketing subjects, the better the performance of green marketing. In the real market environment, this ideal balance is often broken, and green marketing activities are difficult to carry out normally, affecting the performance of green marketing. At the same time, the characteristics of green marketing performance have its particularity. On the one hand, green marketing performance cannot be formed in a short time. Once good performance is formed, this performance can play a role in a long time; On the other hand, there are many factors involved, and the quality of performance not only depends on the improvement of the social ecological environment, but also includes the achievement of enterprise goals and consumer satisfaction. The enterprise green marketing performance management evaluation is a classical multiple attribute decision making (MADM). Recently, the TODIM and TOPSIS method has been used to cope with MADM issues. The triangular fuzzy neutrosophic sets (TFNSs) are used as a tool for characterizing uncertain information during the enterprise green marketing performance management evaluation. In this manuscript, the triangular fuzzy neutrosophic TODIM-TOPSIS (TFN-TODIM-TOPSIS) method is built to solve the MADM under TFNSs. In the end, a numerical case study for enterprise green marketing performance management evaluation is given to validate the proposed method.

The power Bonferroni mean (PBM) is a combined networking system that can benefit both the power average (PA) operator, which might attenuate the effects of irrational data provided by the prejudiced decision-makers (DMs), and the BM operator, which may incorporate the interconnections between any two attributes. In this paper, we defined the aggregation operators (AOs), such as the power average (PA) operator and the power Bonferroni mean (PBM) operator, based on the Aczel-Alsina (AA) operational rules under the environment of the q-Rung Orthopair fuzzy set (q-ROFS), and provided their specific characteristics for the solution of numerical problems. We extend the power Bonferroni mean (PBM) operator under the framework of q-ROFVs to establish the q-Rung Orthopair Fuzzy Aczel-Alsina power Bonferroni mean (q-ROFAAPBM) operator and the q-Rung Orthopair Fuzzy Aczel-Alsina weighted power Bonferroni mean (q-ROFAAWPBM) operator and discuss a few of the most useful properties of these AOs. After that, the q-ROFAAWPBM operator is used to solve the multi-attribute decision-making steps for q-ROFVs. The disease is diagnosed with the MADM method, which shows its usefulness and effectiveness. Finally, the comparison of our developed approach has been demonstrated to be superior and more effective than the existing literature, and we can conclude the result.

Introduction Considering the international policy towards sustainable development and conflict of the energy subsidy with the SDG, the present study examines the effects of subsidy on the realization of sustainable development in the selected countries. For this purpose, by designing and constructing a Composite Indicator (CI) for sustainable development, the performance of the top five countries in the world in terms of paying the most energy subsidies (first group), is compared with the performance of the world's large economies in terms of the highest rate of GDP (second group, mainly without paying energy subsidies). The hypotheses of the research are: 1) there is a negative relationship between the rankings of countries in terms of the largest energy subsidies with the ranking based on the realization of sustainable development. 2) the countries of the second group (with the lowest energy subsidies) have on average a better situation in achieving sustainable development compared to the countries of the first group. 3) among the countries of the second group, China has the least realization in sustainable development by paying significant energy subsidies. Methodology In the present study, the composite index of sustainable development is investigated using 12 variables in the form of three economic, social and environmental dimensions and based on the design of Multiple Attribute Decision Making (MADM). The targeted CI is calculated using seven approaches: Z-Score, Max-Min, McGranahan, Experts’ Judgements Scoring, Guttman, TOPSIS and VIKOR, for selected countries over the period of 1990-2020, and the results are presented and compared at static and dynamic levels. To weight the variables, the same weighting technique, McGranahan, EJ scoring, Guttman and CRITIC (Criteria Importance Through Intercriteria Correlation) are used in the calculations. Findings The results of the study indicate the unfavorable situation of Iran in paying energy subsidies (ranked first in the world) and the realization of sustainable development (ranked last among the countries surveyed); Germany, on the other hand, ranks first in the study without paying energy subsidies. Ranking countries at the dynamic level, while eliminating the existing problems at the static level, indicates a strong negative relationship between paying energy subsidies and achieving sustainable development. This confirms the first hypothesis of the research. In this regard, the correlation between the average energy subsidy and SDIMax-Min has been increased to -0.74 and the ranked correlation between SDIMax-Min and subsidy payment has been improved to -0.85. On the other hand, the average values of sustainable development indicators, with the change of study approach and weighting techniques, have had similar and stable results, which all indicate that the ranking of countries in different situations has become more realistic in the dynamic level compared to the static level. Also, the comparison of the average sustainable development realization in the first and second groups, shows that in terms of quantity and rank, the countries of the second group have a significant advantage over the first group, which means confirming the second hypothesis. And finally, in the ranking based on 7 approaches, China is ranked 4th after Germany, America and Japan in 6 approaches, which means confirming the third hypothesis. The results of sensitivity analysis indicate the high share of life expectancy, per capita income and education index in the targeted CI. Discussion and Conclusion Regarding some minor differences in the results of the seven approaches, using De Montis et al. (2021)'s experience based on calculating the average ranks and Miç & Figen Antmen (2021)'s experience based on setting the criterion of the highest repetition of the rank in different approaches, all hypotheses are confirmed and the ranking of the countries does not change. Also, if we perform a sensitivity analysis on the approaches, there will be no change in the final ranking result. The main suggestion derived from the results of the research is the necessity of planning to eliminate energy subsidies in the country in accordance with international policies from 2015. However, according to Mohammadipour et al. (2022), the removal of energy subsidies and the modification of the energy carriers’ prices creates very extensive and lasting (long-term) destructive effects on macroeconomic variables. On the other hand, according to Taylor (2020), based on the REmap (Renewable Energy roadmap analysis) by IRENA (International Renewable Energy Agency), firstly, policy development in the direction of renewable energy, nuclear, etc., and planning to reduce fossil fuel subsidies have been identified in the form of two axes (until 2030 and until 2050). And secondly, a special path has been drawn to manage and move from harmful subsidies to the environment and sustainable development to environmentally friendly subsidies until 2050. Therefore, considering the destructive effects of energy subsidies, it is suggested that all reforms and removal of energy subsidies should be carried out in the form of a comprehensive, regulated, gradual program with a strong redistributive role of the government. Secondly, all these actions should be done in line with the global planning and policy and taking into account the REmap. Also, the research results of the study suggest that in the design of MADM models, when the data are of the time series type, Z-Score, Max-Min, McGranahan, Experts’ Judgements Scoring and Guttman approaches perform better (and more recommended) by replacing the opposite variable for each time series data. However, when the data are not in the time series form, the performance of TOPSIS and VIKOR approaches are optimal (and more recommended) by simplifying complex relationships.

With the development of society and the times, the socialist modernization cause in China is constantly developing, and the improvement of the economy has also driven the development of rural ecotourism industry in China. The unique natural terrain and cultural customs in rural areas have promoted the continuous development of local ecotourism industry, which has had a positive impact on the economic development of rural areas and not only solved the employment problem of the majority of the population in rural areas. It can also bring a continuous stream of economic benefits and continuously improve the living standards of local residents. Rural ecotourism refers to a rural tourism activity that takes place in rural areas, supported by the agricultural industry, and attracted by the rural environment and typical rural ecotourism resources, with the concept of ecotourism. Rural ecotourism mainly takes the form of rural scenery, agricultural participation, and folk experience, integrating sightseeing experience, cognition, and tourism activities. The main principles of rural tourism development are agricultural support, people-oriented, ecological protection, community participation, income feedback, and ecological home construction. The sustainable development evaluation of rural ecotourism is a classical multiple-attribute decision-making (MADM) issue. In such paper, the generalized weighted Bonferroni mean (GWBM) operator and power average (PA) is constructed for MADM with single-valued neutrosophic sets (SVNSs). Then, the single-valued neutrosophic number power generalized BM (SVNNPGBM) operator is built and then the MADM decision methods are proposed based on the SVNNPGBM operator. Finally, an example for sustainable development evaluation of rural ecotourism and some comparative analysis were given to demonstrate the SVNNPGBM method. [ABSTRACT FROM AUTHOR]

The traditional offline classroom is no longer suitable for the current situation of college English classrooms. The application of the "hybrid" teaching model in online and offline college English teaching is the trend and the focus of local higher education reform. Nowadays, many universities at home and abroad have successively established online platforms and launched online courses, striving for seamless connection between online and offline classrooms. It can be seen that exploring the "blended" teaching mode of online and offline in local higher education institutions is a trend of the times and the current situation of English language classrooms in universities. The online and offline blended teaching effectiveness evaluation of college English courses is regarded as multiple-attribute decision-making (MADM). In this paper, the triangular fuzzy neutrosophic numbers grey relational analysis (TFNN-GRA) method is designed for MADM based on the classical point GRA and triangular fuzzy neutrosophic sets (TFNSs). Finally, a numerical example for online and offline blended teaching effectiveness evaluation of college English courses is given and some comparisons are done to show the advantages of TFNN-GRA method. [ABSTRACT FROM AUTHOR]

The emergence of new energy electric vehicles (NEEV) can effectively reduce vehicle fuel consumption and alleviate the contradiction between fuel supply and demand. It has made great contributions to improving the atmospheric environment and promoting the development of environmental protection. However, the insufficient number of new energy electric vehicle charging stations (NEEVCSs) and unreasonable coverage areas have become obstacles to the large-scale promotion of new energy electric vehicles. Therefore, we build a multi-attribute decision making (MADM) model based on probabilistic double hierarchy linguistic weight Maclaurin symmetric mean (PDHLWMSM) operator and a MADM model based on probabilistic double hierarchy linguistic weight power Maclaurin symmetric mean (PDHLWPMSM) operator to select the best charging station construction point from multiple alternative sites. In addition, the model constructed in this paper is compared with the existing MADM models to verify the scientificity of the model proposed in this paper. [ABSTRACT FROM AUTHOR]

The construction industry is the basic industry of the country. With the rapid development of the economy, the construction industry has grown rapidly and the competition in the construction market has become more intense. The competition in the construction market is not only between individual enterprises, but also between the whole supply chain that provides products. Therefore, it is imperative to introduce the idea of supply chain management, strengthen the cooperation with suppliers and improve competitiveness. Supplier evaluation and selection is one of the first issues to be solved for the development of supply chain management. The selection and application of building material suppliers is a classic multiple attribute decision making (MADM). In this paper, the intuitionistic fuzzy sets (IFSs) and Hamacher operations is introduced and the induced intuitionistic fuzzy Hamacher power ordered weighted average (I-IFHPOWA) operator is built. Meanwhile, the properties of built operator are analyzed. Then, the I-IFHPOWA operator is applied to solve the MADM under IFSs. Finally, an example for building material supplier selection is utilized to proof this built model. [ABSTRACT FROM AUTHOR]

Today's higher vocational colleges have already put innovation and entrepreneurship education at the top of vocational education, and integrated it into the entire education and teaching work, in order to continuously improve the innovation and entrepreneurship ability of students in higher vocational colleges and improve their job competition. strength, and improve the quality of education in higher vocational colleges. The quality evaluation of innovation and entrepreneurship education in vocational colleges is a classical multiple attribute decision making (MADM) problems. In this paper, we introduced some calculating laws on interval-valued intuitionistic fuzzy sets (IVIFSs), Hamacher sum and Hamacher product and further propose the induced interval-valued intuitionistic fuzzy Hamacher power ordered weighted geometric (I-IVIFHPOWG) operator. Meanwhile, we also study some ideal properties of built operator. Then, we apply the I-IVIFHPOWG operator to deal with the MADM problems under IVIFSs. Finally, an example for quality evaluation of innovation and entrepreneurship education in vocational colleges is used to test this new approach. [ABSTRACT FROM AUTHOR]

Physical Health is an important part of health education and health promotion in our country. Strengthen the research on the comprehensive evaluation of college students' physical health, establish a representative, scientific, practical and operable index system, provide simple evaluation methods, scientifically evaluate the physical and health status of college students, and promote the scientific development of college students. Effective physical exercise, the development of good physical exercise habits and the promotion of school physical education teaching reform are of great significance. The physical health evaluation of College students is frequently viewed as the multiple attribute decision making (MADM) issue. In this paper, the generalized Heronian mean (GHM) operator and generalized weighted Heronian mean (GWHM) operator with fuzzy number intuitionistic fuzzy numbers (FNIFNs) is extended to build fuzzy number intuitionistic fuzzy GHM (FNIFGHM) operator and fuzzy number intuitionistic fuzzy GWHM (FNIFGWHM) operator. Then we depicted the FNIFWHM operator on the strength of this technique. In the rear, a case in point for Physical health evaluation of College students is described to prove the built methods. [ABSTRACT FROM AUTHOR]

The selection of suppliers is an important part of the construction of engineering projects in supply chain management. If the partners in the supply chain are reliable enough, they can promote the continuous progress of the supply and demand sides in the cooperation, thereby achieving a win-win situation, which is conducive to the realization of a virtuous cycle process. Material suppliers provide the required products and raw materials for the production and construction of enterprises. They are an important source of construction projects and occupy a very important position in the development of enterprises. The supply of high-quality products can lay a good foundation for the subsequent production and construction of the project, thereby promoting the smooth completion of the entire project. Therefore, rational evaluation and selection of suppliers has very important practical significance. The selection and application of building material suppliers is a classic multiple attribute decision making (MADM). In this paper, we introduced some calculating laws on intuitionistic fuzzy sets (IFSs), Hamacher sum and Hamacher product and further propose the induced intuitionistic fuzzy Hamacher power ordered weighted geometric (I-IFHPOWG) operator. Meanwhile, we also study some ideal properties of built operator. Then, we apply the I-IFHPOWG operator to deal with the multiple attribute decision making (MADM) problems under IFSs. Finally, an example for physical health literacy evaluation of College students is used to test this new approach. [ABSTRACT FROM AUTHOR]

Physical Health is an important part of health education and health promotion in my country, and the health literacy level of students majoring in physical education in colleges and universities is an important factor in the development of health education in primary and secondary schools, and also directly affects the implementation of school health education in the future. The physical health evaluation of College students is frequently viewed as the multiple attribute decision making (MADM) issue. In our article, we combine the geometric Heronian mean (GHM) operator, generalized weighted Heronian mean (GWHM) operator with 2-tuple linguistic neutrosophic numbers (2TLNNs) to propose the generalized 2-tuple linguistic neutrosophic geometric HM (G2TLNGHM) operator and generalized 2-tuple linguistic neutrosophic weighted geometric HM (G2TLNWGHM) operator. Meanwhile, some ideal properties of built operator are studied. Then, the G2TLNWGHM operator is applied to deal with the MADM problems under 2TLNNs. Finally, an example for Physical health evaluation of College students is used to show the proposed methods. [ABSTRACT FROM AUTHOR]

At present, with the continuous changes in the market situation and the continuous improvement of the supply chain network structure, the competition in all walks of life has become more and more intense, which has risen from simple enterprise competition to competition in the entire supply chain. In the construction industry, the structure of the construction supply chain is more complex and diverse, and it is more necessary to select high-quality suppliers for sincere cooperation. This requires construction companies to establish a complete supply chain management system, select high-quality suppliers to achieve win-win cooperation and improve their competitiveness. Therefore, construction enterprises need to comprehensively consider various factors, build a reasonable and feasible evaluation index system according to their own demand for materials, and use appropriate evaluation methods to select material suppliers with specific advantages, so as to ensure the entire construction supply chain of the project. of smooth operation. In this paper, we introduced some calculating laws on interval-valued intuitionistic fuzzy sets (IVIFSs), Hamacher sum and Hamacher product and further propose the induced interval-valued intuitionistic fuzzy Hamacher ordered weighted average (I-IVIFHOWA) operator. Meanwhile, we also study some ideal properties of built operator. Then, we apply the I-IVIFHOWA operator to deal with the multiple attribute decision making (MADM) problems under IVIFSs. Finally, an example for selecting the building material suppliers is used to test this new approach. [ABSTRACT FROM AUTHOR]

As a contemporary product of Internet of Things, wearable devices that are closely related to consumer health have received widespread attention from various nations and industries. Thus, the use of wearable devices has become a significant scientific problem requiring an urgent solution. In this article, we consider the characteristics of wearable devices, consumers, the market, safety, and the environment to analyze consumer behavior. A multiple attribute decision-making (MADM) model is used in this article, including the decision-making trial and evaluation laboratory (DEMATEL) technique, the DEMATEL-based analytic network process (DANP) method, and the modified Vlse Kriterijumska Optimizacija I Kompromisno Resenje (VIKOR) method. Based on expert data and the index system of criteria for consumer adoption of wearable devices, we evaluate the relationship between criteria and their weight of impact to create an influential network relationship map by using the DEMATEL technique, comprehensively analyze the correlation between consumer behaviors and products, clearly identify the relative gaps between criteria and the optimal level, and recommend improvements through the DANP. Finally, we use three specific products as examples to analyze consumer satisfaction for different criteria based on the modified VIKOR method. The results reveal that there are gaps between product performance and the optimal level, and product promotion strategies are proposed that would narrow the performance gaps of these three wearable devices by prioritizing the factors that required improvement. [ABSTRACT FROM AUTHOR]

In this article, we present a method for ranking alternatives in multiple attribute decision making (MADM) and group MADM problems. Our method first determines the importance of separations of each decision from positive ideal solution and negative ideal solution and then computes the relative closeness of each alternative. The alternatives are ranked based on relative closeness. The method is illustrated using three examples and the results are compared with other methods. [ABSTRACT FROM AUTHOR]

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D number theory removes the constraints of mutual exclusion and completeness in the frame of discernment of DS evidence theory, and is therefore widely used to deal with uncertain and incomplete information. EDAS (evaluation based on distance from average solution) selects the optimal solution according to the distance from each solution to the average. This method is very suitable for solving issues of multiple attribute decision making (MADM) with conflicting attributes. In this study, we propose an evaluation method that combines D numbers with the EDAS method. D number theory is used to express the evaluation of the alternatives for experts. Then, we use the SCRI (stepwise comparison and replacement integration) method of D numbers for data integration, and finally the EDAS method is used to select the optimal one by sorting the alternatives. We apply this method to address the user experience evaluation problems of platforms that offer online live courses and compare the evaluation results with other methods to verify the applicability and practicability of the method. [ABSTRACT FROM AUTHOR]

Many experts and scholars focus on the Maclaurin symmetric mean (MSM) equation, which can reflect the interrelationship among the multi-input arguments. It has been generalized to different fuzzy environments and put into use in various actual decision problems. The fuzzy data intuitionistic fuzzy numbers (FNIFNs) could well depict the uncertainties and fuzziness during the security evaluation of Wireless Sensor Network (WSN). And the WSN security evaluation is frequently viewed as the multiple attribute decision-making (MADM) issue. In this paper, we expand the generalized Maclaurin symmetric mean (GMSM) equation with FNIFNs to propose the fuzzy number intuitionistic fuzzy generalized MSM (FNIFGMSM) equation and fuzzy number intuitionistic fuzzy weighted generalized MSM (FNIFWGMSM) equation in this study. A few MADM tools are developed with FNIFWGMSM equation. Finally, taking WSN security evaluation as an example, this paper illustrates effectiveness of the depicted approach. Moreover, by comparing and analyzing the existing methods, the effectiveness and superiority of the FNIFWGMSM method are further certified. [ABSTRACT FROM AUTHOR]

Threat evaluation (TE) is essential in battlefield situation awareness and military decision-making. The current processing methods for uncertain information are not effective enough for their excessive subjectivity and difficulty to obtain detailed information about enemy weapons. In order to optimize TE on uncertain information, an approach based on interval Technique for Order Preference by Similarity to an Ideal Solution (TOPSIS) and the interval SD-G1 (SD standard deviation) method is proposed in this article. By interval SD-G1 method, interval number comprehensive weights can be calculated by combining subjective and objective weights. Specifically, the subjective weight is calculated by interval G1 method, which is an extension of G1 method into interval numbers. And the objective weight is calculated by interval SD method, which is an extension of SD method with the mean and SD of the interval array defined in this paper. Sample evaluation results show that with the interval SD-G1 method, weights of target threat attributes can be better calculated, and the approach combining interval TOPSIS and interval SD-G1 can lead to more reasonable results. Additionally, the mean and SD of interval arrays can provide a reference for other fields such as interval analysis and decision-making. [ABSTRACT FROM AUTHOR]

q-rung orthopair fuzzy set (q-ROFS) is a useful tool to express uncertain information. With the parameter q increasing, q-ROFSs have broader space for describing uncertain information than intuitionistic fuzzy sets (IFSs) and Pythagorean fuzzy sets (PFSs). This paper extends the superiority and inferiority ranking (SIR) methods to solve multiple attribute decision making (MADM) problems within the q-ROF environment, named q-ROF-SIR methods. In the q-ROF-SIR methods, the possibility degree (PD) for q-rung orthopair fuzzy numbers (q-ROFNs) is introduced to improve the preference intensity. Further, the q-ROF entropy weight (q-ROF-EW) method is constructed to determine the attribute weights suppose the weights of attribute are unknown. Finally, the effectiveness and applicability of the q-ROF-SIR methods are verified. [ABSTRACT FROM AUTHOR]

Recently, the TODIM has been used to deal with multiple attribute decision making (MADM) problems. The intuitionistic 2-tuple linguistic sets (I2TLSs) are useful tools to depict uncertainty in MADM. This paper use TODIM method to solve MADM with the intuitionistic 2-tuple linguistic numbers (I2TLNs). Firstly, the concepts of I2TLNs are briefly presented, and classical TODIM for MADM are introduced. Then, the classical TODIM method is used to solve MADM with I2TLNs, and its important characteristic is to fully consider the decision makers' bounded rationality which is a real action in MADM. And a comparative analysis is also given. Finally, a numerical example for service outsourcing providers selection is proposed. [ABSTRACT FROM AUTHOR]

The symmetry between fuzzy evaluations and crisp numbers provides an effective solution to multiple attribute decision making (MADM) problems under fuzzy environments. Considering the effect of information distribution on decision making, a novel approach to MADM problems under the interval-valued q-rung orthopair fuzzy (Iq-ROF) environments is put forward. Firstly, the clustering method of interval-valued q-rung orthopair fuzzy numbers (Iq-ROFNs) is defined. Secondly, Iq-ROF density weighted arithmetic (Iq-ROFDWA) intermediate operator and Iq-ROF density weighted geometric average (Iq-ROFDWGA) intermediate operator are developed based on the density weighted intermediate operators for crisp numbers. Thirdly, combining the density weighted intermediate operators with the Iq-ROF weighted aggregation operators, Iq-ROF density aggregation operators including Iq-ROF density weighted arithmetic (Iq-ROFDWAA) aggregation operator and Iq-ROF density weighted geometric (Iq-ROFDWGG) aggregation operator are proposed. Finally, effectiveness of the proposed method is verified through a numerical example. [ABSTRACT FROM AUTHOR]

Because of the uncertainty and subjectivity of decision makers in the complex decision-making environment, the evaluation information of alternatives given by decision makers is often fuzzy and uncertain. As a generalization of intuitionistic fuzzy set (IFSs) and Pythagoras fuzzy set (PFSs), q-rung orthopair fuzzy set (q-ROFS) is more suitable for expressing fuzzy and uncertain information. But, in actual multiple attribute decision making (MADM) problems, the weights of DMs and attributes are always completely unknown or partly known, to date, the maximizing deviation method is a good tool to deal with such issues. Thus, combine the q-ROFS and conventional maximizing deviation method, we will study the maximizing deviation method under q-ROFSs and q-RIVOFSs in this paper. Firstly, we briefly introduce the basic concept of q-rung orthopair fuzzy sets (q-ROFSs) and q-rung interval-valued orthopair fuzzy sets (q-RIVOFSs). Then, combine the maximizing deviation method with q-rung orthopair fuzzy information, we establish two new decision making models. On this basis, the proposed models are applied to MADM problems with q-rung orthopair fuzzy information. Compared with existing methods, the effectiveness and superiority of the new model are analyzed. This method can effectively solve the MADM problem whose decision information is represented by q-rung orthopair fuzzy numbers (q-ROFNs) and whose attributes are incomplete.

In this paper, we expand the Hamy mean (HM) operator and weighted Hamy mean (WHM) with fuzzy number intuitionistic fuzzy numbers (FNIFNs) to propose fuzzy number intuitionistic fuzzy Hamy mean (FNIFHM) operator and fuzzy number intuitionistic fuzzy weighted Hamy mean (FNIFWHM) operator. Then the MADM methods are proposed with these operators. In the end, we utilize an applicable example for comprehensive evaluation of agricultural economic development quality to prove the proposed methods.

In this paper, we investigate the multiple attribute decision making (MADM) problem based on the Muirhead Mean (MM) operators with dual Pythagorean hesitant fuzzy information. Then, motivated by the ideal of MM operators, we have developed some MM operators for aggregating dual hesitant Pythagorean fuzzy information. The prominent characteristic of these proposed operators are studied. Then, we have utilized these operators to develop some approaches to solve the dual hesitant Pythagorean fuzzy multiple attribute decision making problems. Finally, a practical example for supplier selection in supply chain management is given to verify the developed approach and to demonstrate its practicality and effectiveness. [ABSTRACT FROM AUTHOR]

In this paper, we investigate the multiple attribute decision making (MADM) problem based on the Hamacher aggregation operators and Choquet integral with dual Pythagorean hesitant fuzzy information. Then, motivated by the ideal of Hamacher operation and Choquet integral, we have developed some Hamacher correlated operators for aggregating dual hesitant Pythagorean fuzzy information. The prominent characteristic of these proposed operators is studied. Then, we have utilized these two operators to develop some approaches to solve the dual hesitant Pythagorean fuzzy MADM problems. Finally, a practical example for supplier selection in supply chain management is given to verify the developed approach and to demonstrate its practicality and effectiveness. [ABSTRACT FROM AUTHOR]