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A Hybrid Method for Pythagorean Fuzzy Multiple-Criteria Decision Making

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  • Shouzhen Zeng

    (School of Business, Ningbo University, Ningbo 315211, P. R. China)

  • Jianping Chen

    (Ningbo Institute of Technology, Zhejiang University Ningbo, 315100, P. R. China)

  • Xingsen Li

    (Ningbo Institute of Technology, Zhejiang University Ningbo, 315100, P. R. China)

Abstract

As a generalization of intuitionistic fuzzy set, the Pythagorean fuzzy set is interesting and very useful in modeling uncertain information in real-world decision-making problems. In this paper, we develop a new method for Pythagorean fuzzy multiple-criteria decision-making (MCDM) problems with aggregation operators and distance measures. First, we present the Pythagorean fuzzy ordered weighted averaging weighted average distance (PFOWAWAD) operator. The main advantage of the PFOWAWAD operator is that it uses distance measures in a unified framework between the ordered weighted averaging (OWA) operator and weighted average (WA) that considers the degree of importance of each concept in the aggregation. Some of its main properties and special cases are studied. Then, based on the proposed operator, a hybrid TOPSIS method, called PFOWAWAD-TOPSIS is introduced for Pythagorean fuzzy MCDM problem. Finally, a numerical example is provided to illustrate the practicality and feasibility of the developed method.

Suggested Citation

  • Shouzhen Zeng & Jianping Chen & Xingsen Li, 2016. "A Hybrid Method for Pythagorean Fuzzy Multiple-Criteria Decision Making," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 15(02), pages 403-422, March.
    • Handle: RePEc:wsi:ijitdm:v:15:y:2016:i:02:n:s0219622016500012
    DOI: 10.1142/S0219622016500012
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