A Novel Approach to Decision-Making with Pythagorean Fuzzy Information

Sumera Naz · Samina Ashraf · Muhammad Akram

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Multi-Criteria Decision Making Rough Sets and Fuzzy Logic Fuzzy and Soft Set Theory

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.

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References

1965Fuzzy sets 2013Pythagorean Membership Grades in Multicriteria Decision Making 2013Pythagorean fuzzy subsets 2007Intuitionistic Fuzzy Aggregation Operators 2014Extension of TOPSIS to Multiple Criteria Decision Making with Pythagorean Fuzzy Sets 2013Pythagorean Membership Grades, Complex Numbers, and Decision Making 2015Some Results for Pythagorean Fuzzy Sets 2015Pythagorean fuzzy TODIM approach to multi-criteria decision making

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