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In the present communication, we introduce the concept of Type-I generalized spherical interval valued fuzzy soft set and define some operations. It is a generalization of the interval valued fuzzy soft set and the spherical fuzzy soft set. The spherical interval valued fuzzy soft set theory satisfies the condition that the sum of its degrees of positive, neutral, and negative membership does not exceed unity and that these parameters are assigned independently. We also propose an algorithm to solve the decision making problem based on a Type-I generalized soft set model. We introduce a similarity measure based on the Type-I generalized soft set model for two Type-I generalized spherical interval valued fuzzy soft sets and discuss its application in a medical diagnosis problem. Illustrative examples are mentioned to show that they can be successfully used to solve problems with uncertainties. [ABSTRACT FROM AUTHOR]

The main objective of this research is to provide better controlling and stability to B767 aircraft, where a study of elevators for pitch control for the described longitudinal movement is conducted. Intelligent controllers are designed and introduced to the surfaces of the linearized model of B767 aircraft, to identify the performance level based on time response and stability analysis by using different transfer functions. Self-tuning PID Controller and designed hybrid intelligent controller with a combination of PID controller and fuzzy controller are proposed along with few sensors installation to obtain results. A comparative assessment and quantitative analysis of controllers are carried out using MATLAB Simulink. This research has shown that the performance of the aircraft has improved significantly. [ABSTRACT FROM AUTHOR]

Pythagorean neutrosophic soft set (PNSS set) is a new approach towards decision making under uncertainty. The PNSS set has much stronger abilities than the neutrosophic soft set and the Pythagorean fuzzy soft set. In this paper, we discuss aggregated operations for aggregating the PNSS decision matrix. The TOPSIS and VIKOR methods are strong approaches for multi criteria group decision making (MCGDM), which is various extensions of neutrosophic soft sets. In this approach, we propose a score function based on aggregating TOPSIS and VIKOR methods to the PNSS-positive ideal solution and the PNSS-negative ideal solution. Also, the TOPSIS and VIKOR methods provide the weights of decision-making. Afterward, a revised closeness is introduced to identify the optimal alternative. [ABSTRACT FROM AUTHOR]

We introduce the notion of neutrosophic subbisemiring(shortly NSBS), level sets of NSBS and neutrosophic normal subbisemiring(NNSBS) of a bisemiring. The concept of neutrosophic subbisemiring is a new generalization of fuzzy subbisemiring over bisemiring. We interact the theory for (α, β) NSBS and NNSBS over bisemiring. Let A be the neutrosophic subset in S, we show that ... is an NSBS of S if and only if all non empty level set ... is a subbisemiring of S for t, s ∈ [0, 1]. Let A be the NSBS of a bisemiring S and V be the strongest neutrosophic relation of S, we observe that A is an NSBS of S if and only if V is an NSBS of S x S. Let A1, A2, ..., An be the family of NSBSs of S1, S2, ..., Sn respectively. We show that A1 x A2 x ... x An is an NSBS of S1 x S2 x ... x Sn. The homomorphic image of NSBS is an NSBS. The homomorphic preimage of NSBS is an NSBS. Examples are provided to illustrate our results. [ABSTRACT FROM AUTHOR]

We introduce the notion of (λ1, λ2) Q-fuzzy ideal, Q-fuzzy right ideal. Q-fuzzy left, bi-ideal, interior ideal, (ε, ε V q) Q-fuzzy ideal, Q-fuzzy right ideal, Q-fuzzy left, bi-ideal, interior ideal of ordered r-semigroups and discuss some of their properties. To illustrate our results examples are given. [ABSTRACT FROM AUTHOR]

We discuss the notion of intuitionistic fuzzy subbisemiring, level sets of intuitionistic fuzzy subbisemirings and intuitionistic fuzzy normal subbisemiring of a bisemiring. Also, we investigate some of the properties related to these subbisemirings. To illustrate our results examples are given. [ABSTRACT FROM AUTHOR]

In this paper, we introduce the concept of interval valued fuzzy weak bi-ideals of Γ-near-rings, which is a generalized concept of fuzzy weak bi-ideals of Γ-near-rings. We also characterize some properties and provide examples of interval valued fuzzy weak bi-ideals of Γ-near-rings. [ABSTRACT FROM AUTHOR]

Lead(II) oxide nanoparticles have two forms namely the α-PbO with tetragonal structure and β-PbO with orthorhombic structure. The α-PbO nanoparticles were synthesized via simple chemical precipitation method. The morphology of the nanocrystallites was characterized by XRD technique which revealed that the synthesized nanocrystallite belongs to the α-PbO phase. The impedance spectroscopy was used to study the electrical and dielectric properties such as dielectric constant, dielectric loss, impedance, and AC conductivity as a function of frequency of the applied electric field and temperature. The results indicated the effective contributions of the grain boundaries are predominant due to the fact that smaller nanoparticles have larger specific surface area which means increased fraction of grain boundaries. [ABSTRACT FROM AUTHOR]

The purpose of this study is to improve the cooling of brake disc by modifying the wheel rim by fitting it with an axial ventilator. The orientation angle of these blades in axial ventilator is varied between 0 ° and 10 °. The numerical investigation is carried out using commercial CFD code ANSYS Fluent. The pressure difference induced in 5 ° model is maximum leading to a better air flow through the wheel rim resulting with enhanced cooling of the brake disc. The 5 ° model reduced the brake disc temperature from 450 °C to 207.84 °C which is nearly 54%. The surface heat transfer coefficient and Nusselt number of 5 ° model is found to be maximum. The resulting improvement in heat dissipation enhances the performance and hence the lifetime of the brake disc. Therefore, the wheel rim with axial ventilator 5 ° model is found to the suitable configuration so as to achieve enhanced convective cooling of brake disc. [ABSTRACT FROM AUTHOR]

This article introduces the structure of the (t,s)\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$(t,s)$$\end{document}-regulated interval-valued neutrosophic soft set (abbr. (t,s)\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$(t,s)$$\end{document}-INSS). The structure of (t,s)\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$(t,s)$$\end{document}-INSS is shown to be capable of handling the sheer heterogeneity and complexity of real-life situations, i.e. multiple inputs with various natures (hence neutrosophic), uncertainties over the input strength (hence interval-valued), the existence of different opinions (hence soft), and the perception at different strictness levels (hence (t,s)\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$(t,s)$$\end{document}-regulated). Besides, a novel distance measure for the (t,s)\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$(t,s)$$\end{document}-INSS model is proposed, which is truthful to the nature of each of the three membership (truth, indeterminacy, falsity) values present in a neutrosophic system. Finally, a Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) and a Viekriterijumsko Kompromisno Rangiranje (VIKOR) algorithm that works on the (t,s)\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$(t,s)$$\end{document}-INSS are introduced. The design of the proposed algorithms consists of TOPSIS and VIKOR frameworks that deploy a novel distance measure truthful to its intuitive meaning. The conventional method of TOPSIS and VIKOR will be generalized for the structure of (t,s)\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$(t,s)$$\end{document}-INSS. The parameters t\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$t$$\end{document} and s\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$s$$\end{document} in the (t,s)\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$(t,s)$$\end{document}-INSS model take the role of strictness in accepting a collection of data subject to the amount of mutually contradicting information present in that collection of data. The proposed algorithm will then be subjected to rigorous testing to justify its consistency with human intuition, using numerous examples which are specifically made to tally with the various human intuitions. Both the proposed algorithms are shown to be consistent with human intuitions through all the tests that were conducted. In comparison, all other works in the previous literature failed to comply with all the tests for consistency with human intuition. The (t,s)\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$(t,s)$$\end{document}-INSS model is designed to be a conclusive generalization of Pythagorean fuzzy sets, interval neutrosophic sets, and fuzzy soft sets. This combines the advantages of all the three previously established structures, as well as having user-customizable parameters t\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$t$$\end{document} and s\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$s$$\end{document}, thereby enabling the (t,s)\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$(t,s)$$\end{document}-INSS model to handle data of an unprecedentedly heterogeneous nature. The distance measure is a significant improvement over the current disputable distance measures, which handles the three types of membership values in a neutrosophic system as independent components, as if from a Euclidean vector. Lastly, the proposed algorithms were applied to data relevant to the ongoing COVID-19 pandemic which proves indispensable for the practical implementation of artificial intelligence. [ABSTRACT FROM AUTHOR]