Pythagorean fuzzy soft MCGDM methods based on TOPSIS, VIKOR and aggregation operators

Khalid Naeem · Muhammad Riaz · Xindong Peng · Deeba Afzal

102 citations0/0 files storedJournal of Intelligent & Fuzzy Systems

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Multi-Criteria Decision Making Optimization and Mathematical Programming Fuzzy and Soft Set Theory

Abstract

We study, in this paper, some notions related to Pythagorean fuzzy soft sets (PFSSs) along with their algebraic structures. We present operations on PFSSs and their peculiar characteristics and elaborate them with real life examples and tabular representation to develop the affluence of linguistic variables based on Pythagorean fuzzy soft (PFS) information. We present an application of PFSSs to the multi-criteria group decision-making ( MCGDM ) related to site selection, accompanied by Algorithm and flow chart. We develop PFS TOPSIS method and PFS VIKOR method as extensions of the TOPSIS (Technique for Order of Preference by Similarity to Ideal Solution) and VIKOR (Vlse Kriterijumska Optimizacija Kompromisno Resenje) respectively. Finally, we rendered an application in stock exchange investment problem and tackled it by both PFS TOPSIS and PFS VIKOR methods.

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References

1965Fuzzy sets 1986Intuitionistic fuzzy sets 1981Multiple Attribute Decision Making 1981Multiple Attribute Decision Making: Methods and Applications 1988On ordered weighted averaging aggregation operators in multicriteria decisionmaking 1999Soft set theory—First results 1981Methods for Multiple Attribute Decision Making 2010Hesitant fuzzy sets

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