Einstein-Ordered Weighted Geometric Operator for Pythagorean Fuzzy Soft Set with Its Application to Solve MAGDM Problem

Rana Muhammad Zulqarnain,Salwa Ei-Morsy,Imran Siddique,Ewa Rak

doi:10.1155/2022/5199427

Rana Muhammad Zulqarnain, Salwa Ei-Morsy + Show 2 more

Open Access

https://doi.org/10.1155/2022/5199427

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Abstract

The Pythagorean fuzzy soft set (PFSS) is the most influential and operative tool for maneuvering compared to the Pythagorean fuzzy set (PFS), which can accommodate the parameterization of alternatives. It is also a generalized form of intuitionistic fuzzy soft sets (IFSS), which delivers healthier and more exact valuations in the decision-making (DM) procedure. The primary purpose is to extend and propose ideas related to Einstein’s ordered weighted geometric aggregation operator from fuzzy structure to PFSS structure. The core objective of this work is to present a PFSS aggregation operator, such as the Pythagorean fuzzy soft Einstein-ordered weighted geometric (PFSEOWG) operator. In addition, the basic properties of the proposed operator are introduced, such as idempotency, boundedness, and homogeneity. Moreover, a DM method based on a developed operator has been presented to solve the multiattribute group decision-making (MAGDM) problem. A real-life application of the anticipated method has been offered for a capitalist to choose the most delicate business to finance his money. Finally, a brief comparative analysis with some current methods demonstrates the proposed approach’s effectiveness and reliability.

Highlights

multiattribute group decision-making (MAGDM) is considered the most appropriate technique to find the most acceptable alternative from all possible alternatives, following standards or attributes
Atanassov [2] extended the perception of FS and developed the notion of the intuitionistic fuzzy set (IFS), which deals with the uncertainty considering the membership (MG) and nonmembership (NMG) grades
Conclusion e Pythagorean fuzzy soft set (PFSS) is more operative than intuitionistic fuzzy soft sets (IFSS) and Pythagorean fuzzy set (PFS) because they resolve incomplete and uncertain information using MG and NMG

Summary

Introduction

MAGDM is considered the most appropriate technique to find the most acceptable alternative from all possible alternatives, following standards or attributes. Zulqarnain et al [24] introduced the Pythagorean fuzzy soft Einstein-ordered weighted average operator of PFSS and established the DM technique based on the operator developed by them. Ey presented an MCDM technique using their proposed interactive AOs. Garg [28, 29] introduced several Einstein AOs under the PFS environment and established the DM techniques based on settled operators to resolve complex difficulties. E rest of the research is ordered as follows: Section 2 discusses fundamental concepts such as FS, IFS, PFS, SS, FSS, IFSS, and PFSS. Einstein-Ordered Weighted Geometric Operator for Pythagorean Fuzzy Soft Set e subsequent section will develop the Einstein-ordered weighted geometric operator for PFSS with some fundamental properties.

Properties of PFSEOWG Operator

Comparative Studies