Fuzzy Information and Engineering

Emovon, I.; Aibuedefe, W. O.

2020 Fuzzy Information and Engineering

doi: 10.1080/16168658.2020.1775332

In this paper, a Multi-Criteria Decision-Making (MCDM) tool which combines Fuzzy Set Theory (FST) with TOPSIS (Fuzzy TOPSIS) is presented for selecting optimal material for the different components of the cashew juice extractor. The technique proposed utilise a broad multiple criteria methodology in finding optimal material from among alternative materials. The alternative materials are mild steel, stainless steel, galvanised steel, and alloy steel. To illustrate the applicability of the technique, a case study of the Auger material selection problem was used. The Auger was applied for the demonstration of the proposed method because it is the most critical component of the cashew juice extractor. The result of the analysis indicated that galvanised steel is the optimal material for the Auger. To validate the FUZZY TOPSIS method, the results obtained from it were compared with results obtained from FUZZY MOORA and FUZZY SAW methods. The comparative analysis indicated that FUZZY TOPSIS produces completely same result with the FUZZY SAW method and very similar results with the FUZZY MOORA method. This is an indication of the suitability of the proposed technique in resolving the material selection problem of the cashew juice extractor.

Yu, Peng; An, Xiao-gang; Zhang, Xiao-hong

2020 Fuzzy Information and Engineering

doi: 10.1080/16168658.2020.1778829

By introducing the concepts of intuitionistic L-fuzzy β-covering and intuitionistic L-fuzzy β-neighborhood, we define three kinds of intuitionistic L-fuzzy β-covering rough set models. The basic properties of those intuitionistic L-fuzzy β-covering rough set models are investigated. Moreover, we define the other three kinds of intuitionistic L-fuzzy β-covering rough set models by using the former three models. Finally, we present the matrix representations of the newly defined lower and upper approximation operators so that the calculation of lower and upper approximations of subsets can be converted into operations on matrices.

Mahmood, Tahir; Rehman, Ubaid ur; Ali, Zeeshan

2020 Fuzzy Information and Engineering

doi: 10.1080/16168658.2020.1779013

The purpose of this manuscript is to explore the notion of a complex hesitant fuzzy set (CHFS), as a generalization of the hesitant fuzzy set (HFS) and complex fuzzy set (CFS) to cope with the uncertain and complicated information in the real-world decision. CHFS contains truth grades in the form of a subset of the unit disc in the complex plane. The operational laws of the explored notion are also described. Further, the exponential based generalized similarity measures, without exponential based generalized similarity measures, and their important characteristics are also explored. These similarity measures are applied in the environment of pattern recognition and medical diagnosis to evaluate the proficiency and feasibility of the established measures. We also solved some numerical examples using the established measures. To examine the reliability and validity of the proposed measures by comparing it with existing measures. The advantages, comparative analysis, and graphical representation of the explored measures and existing measures are also discussed in detail.

Bera, Sanchari; Pal, Madhumangal

2020 Fuzzy Information and Engineering

doi: 10.1080/16168658.2020.1785993

In this paper, the concept of the -polar fuzzy graph ( -PFG) and interval-valued fuzzy graph (IVFG) is integrated and introduced an unprecedented kind of fuzzy graph designated as -polar interval-valued fuzzy graph ( -PIVFG). Complement of the -PIVFG is defined and the failure of this definition in some cases are highlighted. Various examples are cited and then redefined the notation of complement such that it applies to all -PIVFGs. The other algebraic properties such as isomorphism, weak isomorphism, co-weak isomorphism of the -PIVFG are investigated. Moreover, some basic results on the isomorphic property of -PIVFG are proved. Finally, an application of -PIVFG is explored. Abbreviations: The following abbreviations are employed in this study: FS: Fuzzy set; FG: Fuzzy graph; IVFS: Interval-valued fuzzy sets; IVFG: Interval-valued fuzzy graph; -PFS: -polar fuzzy sets; -PFG: -polar fuzzy graph; -PIVFS: -polar interval-valued fuzzy sets; -PIVFG: -polar interval-valued fuzzy graph.

P, Sini

2020 Fuzzy Information and Engineering

doi: 10.1080/16168658.2020.1798166

In this paper we investigate the group of -homeomorphisms of an -topological space. If there exists an -topology on a set such that the group of -homeomorphisms of the -topological space is a permuation group on , then is -representable on X. It is proved that the direct sum of finite -representable permutation groups is -representable on X. We also investigate -reprsentability of some cyclic subgroups of the group .

Nasseri, S. H.; Bavandi, S.

2020 Fuzzy Information and Engineering

doi: 10.1080/16168658.2020.1790927

In this paper, due to increasing competition in the business world, which makes decision makers dealing with multiple options/information for optimal decisions on a single task, we will look at multi-choice programming in hybrid fuzzy random environment. Alternative choices multi-choice parameters are considered as fuzzy random variables. By using polynomials interpolation for each multi-choice parameter, the model is transformed into a fuzzy random programming problem. Then, to convert this model to its deterministic form, we use the concept of the mean value of fuzzy random variables. Finally, to validate the proposed mathematical operations, we solve a multi-commodity transportation problem with fuzzy random multi-choice parameters.

Pourrafiee, Mahdi; Nafei, AmirHossein; Banihashemi, Shokoufe; Pourmohammad Azizi, S.

2020 Fuzzy Information and Engineering

doi: 10.1080/16168658.2020.1811481

Credibility fuzzy value at risk in portfolio models is a reasonable solution when investors may face ambiguity, lack of historical data, and when avoiding normally or symmetrically distributed assumptions is needed. Credibility fuzzy membership function because having a self-duality axiom is analogous to measurable function on a probability space for the random variable. The primary aim of this paper is to solve the portfolio problem by using the third and fourth credibility moments in multi-objective higher-order moment portfolio models with different entropies. Firstly, Minkowski, Shannon, Yager, Renyi, and Gini-Simpson entropies are presented as new objective functions to solve corner solutions of conventional fuzzy multi-objective weighted credibility higher-order moment portfolio selection models. Secondly, because of the non-linearity nature of multi-objective models, a genetic algorithm is used to solve the models. Finally, proposed models are tested – using the data of Tehran Stock Exchange – and then evaluated – applying adjusted Sharpe Ratio as a portfolio performance technique.