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A Novel Approach to Decision-Making with Pythagorean Fuzzy Information

Author

Listed:
  • 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)

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.

Suggested Citation

  • Sumera Naz & Samina Ashraf & Muhammad Akram, 2018. "A Novel Approach to Decision-Making with Pythagorean Fuzzy Information," Mathematics, MDPI, vol. 6(6), pages 1-28, June.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:6:p:95-:d:151223
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    Cited by:

    1. Touqeer, Muhammad & Shaheen, Sadaf & Jabeen, Tahira & Sulaie, Saleh Al & Baleanu, Dumitru & Ahmadian, Ali, 2022. "A signed distance based ranking approach with unknown fuzzy priority vectors for medical diagnosis involving interval type-2 trapezoidal pythagorean fuzzy preference relations," Operations Research Perspectives, Elsevier, vol. 9(C).

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