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Chinese Journal of Management Science ›› 2019, Vol. 27 ›› Issue (3): 198-205.doi: 10.16381/j.cnki.issn1003-207x.2019.03.020

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A Method Based on Hybrid Weighted Distance for Pythagorean Fuzzy TOPSIS Multiple-attribute Decision Making

ZENG Shou-zhen1,2, MU Zhi-min3   

  1. 1. School of Business, Ningbo University, Ningbo 315211, China;
    2. School of Management, Fudan University, Shanghai 200433, china;
    3. School of Basic Science, Tianjin Agricultural University, Tianjin 300384, China
  • Received:2017-08-24 Revised:2018-05-22 Online:2019-03-20 Published:2019-04-28

Abstract: The aim of this paper is to present a technique based on the hybrid weighted distance (PFHWD) measure for Pythagorean fuzzy TOPSIS model. Firstly, the inadequacies for the existing Pythagorean fuzzy distance measures are analyzed in detail. Then, two new distance measures, namely the Pythagorean fuzzy ordered weighted distance measure and the PFHWD measure are presented to enhance Pythagorean fuzzy theory, some of their advantages are also explored. Furthermore, based on the proposed measures, a modified TOPSIS termed the PFHWD-TOPSIS, is developed for Pythagorean fuzzy multiple attribute decision making problems. Moreover, a revised relative coefficient is proposed to rank the potential alternatives. Finally, a numerical example concerning the service quality of domestic airlines is introduced to demonstrate the effectiveness of the developed model. The research of this paper contributes to enrich the theory and application of Pythagorean fuzzy set.

Key words: Pythagorean fuzzy set, distance measure, hybrid aggregation, multiple-attribute decision making, TOPSIS

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