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Nowadays, the complexity of real decision-making problem makes people pay more and more attention to the effective evaluation and selection of decision methods. Considering that the Pythagorean fuzzy set (PFS) owing its better capacity can express the uncertainties of human inherent preferences, multigranulation Pythagorean fuzzy rough set (MGPFRS) model is proposed to handle uncertain multi-attribute group decision making (MAGDM) problem. We firstly build the δ −neighborhood relation over multi-attribute Pythagorean fuzzy decision making (MAPFDM) information system based on the distance measurement. Then, combined with the principle of variable precision rough set and PF information, the rough approximation of crisp and inaccuracy concept are discussed. That is, the variable precision multigranulation rough Pythagorean fuzzy set (VMGRPFS). On this basis, given the special case of fuzzy equivalence relation, we propose the variable precision multigranulation Pythagorean fuzzy rough set (VMGPFRS). Furthermore, some fascinating properties for the VMGRPFS and VMGPFRS model are given. The corresponding models of optimistic and pessimistic are deduced respectively. The interrelationship among of the established VMGRPFS and VMGPFRS with the classical multigranulation rough set are discussed in detail. In addition, a new MAGDM method with Pythagorean fuzzy information is proposed by using VMGPFRS and PROMETHEE methods. This method points out the basic principle and algorithm of decision making. Finally, we perform our established method to select the best photovoltaic cell and implement the comparative analysis which can verify the reliability and superiority of our approach. [ABSTRACT FROM AUTHOR]

This paper proposes a sequential three-way decision-making approach based on BWM (best-worst method) and MULTIMOORA for multiple levels of granularity to deal with the multi-attribute group decision-making problems under uncertainty. First, using BWM to preprocess the attribute indicators of the decision problem, the relationship between the criteria important for decision problem is determined. Then, according to the importance of the determined level of granularity, from rough to clear, three-way decisions are made in sequence at each level. In this way, we obtain a lattice based three-way decision-making process. Also, in the process at each granularity, we consider the costs of both the decision process and the decision result. Thus, this paper builds a multigranulation sequential three-way decisions model with cost-sensitive. Next, based on the above-mentioned model, we propose a decision procedure and an algorithm for multi-attribute group decision making. It is worth noting that according to the research goals of the decision problem, MULTIMOORA is used to sort the classified alternatives. And a ranking result of the decision problem is given. Finally, the effectiveness and validity of the proposed model is verified by a multi-attribute group decision problem. The problem is the case of emergency diagnosis and treatment after a highway accident. And put forward reasonable suggestions for further development direction. [ABSTRACT FROM AUTHOR]

Conflict analysis has become a hot issue in management science. In the context of conflict analysis, there are three attitudes for agents to describe the opinion, including supportive, opposite, and neutral. Then, the conflict situation is discussed and analyzed. In this paper, we propose an extended Pawlak conflict model concerning the trust mechanism to solve the problem of the reaching consensus process. Firstly, the degree of conflict is defined by the weights of agents considering the penalty factors, and an extended Pawlak conflict model is presented. Then, the trust recommendation mechanism is proposed to modify the opinions of agents and reach conflict consensus. Four kinds of feedback mechanism are discussed by using four perspectives: 1) without the penalty factors and no limit to the range of adjustments; 2) without the penalty factors and the attitude of agents vary from pessimistic to neutral; 3) with the penalty factors and no limit to the range of adjustments; 4) with the penalty factors and the attitude of agents vary from pessimistic to neutral. Furthermore, this paper presents a process of reaching consensus based on the trust recommendation mechanism for the conflict analysis problem. Finally, a case study is used to validate the effectiveness and superiority of the proposed method. A comparative analysis is completed for the parameters and the maximum alliances could be obtained with the original Pawlak conflict model. [ABSTRACT FROM AUTHOR]