Computer Science ›› 2021, Vol. 48 ›› Issue (1): 152-156.doi: 10.11896/jsjkx.191100102

• Database & Big Data & Data Science • Previous Articles     Next Articles

Similarity Construction Method for Pythagorean Fuzzy Set Based on Fuzzy Equivalence

HU Ping, QIN Ke-yun   

  1. College of Mathematics,Southwest Jiaotong University,Chengdu 611756,China
  • Received:2019-11-13 Revised:2020-01-07 Online:2021-01-15 Published:2021-01-15
  • About author:HU Ping,born in 1994,M.S.candidate.Her main research interests include rough set theory and so on.
    QIN Ke-yun,born in 1962,Ph.D,is a se-nior member of China Computer Federation.His main research interests include rough set theory,formal concept analysis and so on.
  • Supported by:
    National Natural Science Foundation of China(61976130,61473239).

Abstract: The notion of Pythagorean fuzzy set is a generalization of Zadeh's fuzzy sets.The study of similarity measures between Pythagorean fuzzy sets is an important topic of Pythagorean fuzzy set theory.Most of the existing similarity measures are presented based on specific practical problems.This paper focuses on general constructing methods of similarity measures between Pythagorean fuzzy sets by using fuzzy equivalences.The notion of fuzzy equivalence is extended to Pythagorean fuzzy numbers and the notion of PFN fuzzy equivalence is proposed.The constructing methods of PFN fuzzy equivalences are presented.Furthermore,by using aggregation operators,some general methods for constructing similarity measures between Pythagorean fuzzy sets are proposed.It is shown that some of the existing similarity measures are special cases of the similarity measures proposed in this study.

Key words: Fuzzy equivalence, Pythagorean fuzzy number, Pythagorean fuzzy set, Similarity measure

CLC Number: 

  • TP182
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