Open Access

ARTICLE

A New Kind of Generalized Pythagorean Fuzzy Soft Set and Its Application in Decision-Making

Xiaoyan Wang¹, Ahmed Mostafa Khalil^2,*

1 College of Big Data, Huanghai University, Qingdao, China
2 Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut, 71524, Egypt

* Corresponding Author: Ahmed Mostafa Khalil. Email:

(This article belongs to this Special Issue: Decision making Modeling, Methods and Applications of Advanced Fuzzy Theory in Engineering and Science)

Computer Modeling in Engineering & Sciences 2023, 136(3), 2861-2871. https://doi.org/10.32604/cmes.2023.026021

Received 10 August 2022; Accepted 18 November 2022; Issue published 09 March 2023

Abstract

The aim of this paper is to introduce the concept of a generalized Pythagorean fuzzy soft set (GPFSS), which is a combination of the generalized fuzzy soft sets and Pythagorean fuzzy sets. Several of important operations of GPFSS including complement, restricted union, and extended intersection are discussed. The basic properties of GPFSS are presented. Further, an algorithm of GPFSSs is given to solve the fuzzy soft decision-making. Finally, a comparative analysis between the GPFSS approach and some existing approaches is provided to show their reliability over them.

---

Keywords

---