A Novel Approach to Decision-Making with Pythagorean Fuzzy Information

Sumera Naz, Samina Ashraf and Muhammad Akram
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Sumera Naz: Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore 54590, Pakistan
Samina Ashraf: Quality Enhancement Cell, Lahore College for Women University, Lahore 54600, Pakistan
Muhammad Akram: Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore 54590, Pakistan

Mathematics, 2018, vol. 6, issue 6, 1-28

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.

Keywords: Pythagorean fuzzy graph; Pythagorean fuzzy preference relation; decision making (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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