Consensus reaching process for fuzzy behavioral TOPSIS method with probabilistic linguistic q‐rung orthopair fuzzy set based on correlation measure

Donghai Liu · An Huang

88 citations0/0 files storedInternational Journal of Intelligent Systems

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Multi-Criteria Decision Making Rough Sets and Fuzzy Logic Fuzzy and Soft Set Theory

Abstract

The paper proposes a consensus reaching process for fuzzy behavioral TOPSIS method with probabilistic linguistic q-rung orthopair fuzzy sets (PLq-ROFSs) based on correlation measure. First, the operational laws of adjusted PLq-ROFSs based on linguistic scale function (LSF) for semantics of linguistic terms are introduced, where the PLq-ROFSs have same probability space. In addition, we define the score function and accuracy function of PLq-ROFS based on the proposed operational laws to compare the PLq-ROFSs. Furthermore, we propose the probabilistic linguistic q-rung orthopair fuzzy weighted averaging (PLq-ROFWA) operator and the probabilistic linguistic q-rung orthopair fuzzy order weighted averaging (PLq-ROFOWA) operator to aggregate the linguistic decision information. Considering the inconsistency between the individual information and aggregated information in decision-making process and the demiddle of given linguistic sets tocision makers' behavioral factors, we define a new correlation measure based on LSF to develop a consensus reaching process for fuzzy behavioral TOPSIS method with PLq-ROFSs. Finally, a numerical example concerning the selection of optimal green enterprise is given to illustrate the feasibility of the proposed method and some comparative analyses with the existing methods are given to show its effectiveness. The sensitivity analysis and stability analysis of the proposed method on the ranking results are also discussed.

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References

1992Advances in prospect theory: Cumulative representation of uncertainty 2003Compromise solution by MCDM methods: A comparative analysis of VIKOR and TOPSIS 2013Pythagorean Membership Grades in Multicriteria Decision Making 1975The concept of a linguistic variable and its application to approximate reasoning—II 2011Hesitant Fuzzy Linguistic Term Sets for Decision Making 2000Linguistic decision analysis: steps for solving decision problems under linguistic information 2009A multi-criteria intuitionistic fuzzy group decision making for supplier selection with TOPSIS method 2016Probabilistic linguistic term sets in multi-attribute group decision making

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