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A Novel Approach to Decision-Making with Pythagorean Fuzzy Information

S. Naz,S. Ashraf,M. Akram

2018 · DOI: 10.3390/MATH6060095
Mathematics · 127 Citations

TLDR

This paper proposes a new graph, called Pythagorean fuzzy graph (PFG), and investigates some properties of the proposed graphs, including the degree and total degree of a vertex of PFGs.

Abstract

A Pythagorean fuzzy set (PFS) is a powerful tool for depicting fuzziness and uncertainty. This model is more flexible and practical as compared to an intuitionistic fuzzy model. This paper proposes a new graph, called Pythagorean fuzzy graph (PFG). We investigate some properties of our proposed graphs. We determine the degree and total degree of a vertex of PFGs. Furthermore, we present the concept of Pythagorean fuzzy preference relations (PFPRs). In particular, we solve decision-making problems, including evaluation of hospitals, partner selection in supply chain management, and electronic learning main factors evaluation by using PFGs.