On Similarity Measures and Distance Measures of Fuzzy Soft Sets

LIU Ya-ya, QIN Ke-yun, WANG Ling

doi:10.13371/j.cnki.chin.q.j.m.2015.03.005

Chinese Quarterly Journal of Mathematics >

2015 , Vol. 30 >Issue 3: 349 - 357

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2015.03.005

On Similarity Measures and Distance Measures of Fuzzy Soft Sets

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College of Mathematics, Southwest Jiaotong University

LIU Ya-ya(1989-), female, native of Huaibei, Anhui, M.S.D., engages in fuzzy set theory and soft set theory; QIN Ke-yun(Corresponding author)(1962-), male, native of Xinxiang, Henan, Ph.D., a professor of Southwest Jiaotong University, engages in rough set theory and soft set theory.

Received date: 2014-01-22

Online published: 2020-11-20

Supported by

Supported by the National Natural Science Foundation of China(6147323961175044)； Supported by the Fundamental Research Funds for the Central Universities of China(2682014ZT28)；

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Abstract

In this paper we introduce several new similarity measures and distance measures between fuzzy soft sets, these measures are examined based on the set-theoretic approach and the matching function. Comparative studies of these measures are derived. By introducing two general formulas, we propose a new method to define the similarity measures and the distance measures between two fuzzy soft sets with different parameter sets.

Key words： fuzzy soft set; similarity measure; distance measure

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LIU Ya-ya, QIN Ke-yun, WANG Ling . On Similarity Measures and Distance Measures of Fuzzy Soft Sets[J]. Chinese Quarterly Journal of Mathematics, 2015 , 30(3) : 349 -357 . DOI: 10.13371/j.cnki.chin.q.j.m.2015.03.005

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