TOPSIS Method Based on Correlation Coefficient under Pythagorean Fuzzy Soft Environment and Its Application towards Green Supply Chain Management

Abstract

The correlation coefficient between two variables is an important aspect of statistics. The accuracy of assessments of correlation relies on information from a set of discourses. Data collected in statistical studies are often full of exceptions. Pythagorean fuzzy soft sets (PFSS) are a parametrized family of extended Pythagorean fuzzy sets (PFS). They comprise a generalization of intuitionistic fuzzy soft sets which may be used to accurately assess deficiencies and uncertainties in evaluations. PFSS can accommodate uncertainty more competently than intuitionistic fuzzy soft sets and are the most important strategy when dealing with fuzzy information in decision-making processes. Herein, the concept and characteristics of correlation coefficients and the weighted correlation coefficients in PFSS are discussed. We also introduce the Pythagorean fuzzy soft weighted average (PFSWA) and Pythagorean fuzzy soft weighted geometric (PFSWG) operators and discuss their desirable characteristics. A prioritization technique for order preference by similarity to the ideal solution (TOPSIS) under the PFSS environment based on correlation coefficients and weighted correlation coefficients will be introduced. Through the proposed methodology, a technique for decision-making is developed. Additionally, an application of the proposed TOPSIS technique is presented for green supplier selection in green supply chain management (GSCM). The practicality, efficacy, and flexibility of the proposed approach is proved through comparative analyses, drawing upon existing studies.

Multicriteria Decision-Making Approach for Pythagorean Fuzzy Hypersoft Sets’ Interaction Aggregation Operators

“…ey also proposed the weighted AOs for m-polar PFSs [32] and established a decision-making approach to solve DM concerns. Zulqarnain et al [33] extended the idea of PFSSs and developed the TOPSIS method based on the CC. ey also presented an MCGDM approach and utilized their developed approach for the selection of suppliers in green supply chain management.…”

Multicriteria Decision‐Making Approach for Aggregation Operators of Pythagorean Fuzzy Hypersoft Sets

“…Riaz et al [ 26 ] introduced PFSS similarity measurements and underlined their critical importance. Zulqarnain et al [ 27 ] developed the TOPSIS approach based on the CC and expanded the impression of PFSSs. They also presented an MCGDM approach for supplier selection, which they created themselves.…”

Algorithms for a Generalized Multipolar Neutrosophic Soft Set with Information Measures to Solve Medical Diagnoses and Decision-Making Problems

“…ey also utilized their established decision-making technique for the selection of suppliers in green supply chain management. Zulqarnain et al [28] extended the TOPSIS technique under Pythagorean fuzzy soft environment. Nguyen et al [29] defined some similarity measures for PFS by using the exponential function for the membership and nonmembership degrees with its several properties and relations.…”