模糊软集的相似测度和距离测度

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

数学季刊 ›› 2015, Vol. 30 ›› Issue (3): 349-357.doi: 10.13371/j.cnki.chin.q.j.m.2015.03.005

模糊软集的相似测度和距离测度

College of Mathematics, Southwest Jiaotong University

收稿日期:2014-01-22 出版日期:2015-09-30 发布日期:2020-11-20
作者简介: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.
基金资助:
Supported by the National Natural Science Foundation of China(6147323961175044)； Supported by the Fundamental Research Funds for the Central Universities of China(2682014ZT28)；

On Similarity Measures and Distance Measures of Fuzzy Soft Sets

College of Mathematics, Southwest Jiaotong University

Received:2014-01-22 Online:2015-09-30 Published:2020-11-20
About author: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.
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)；

摘要/Abstract

摘要： 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.

关键词: fuzzy soft set, similarity measure, distance measure

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

中图分类号:

O159

刘雅雅, 秦克云, 王玲. 模糊软集的相似测度和距离测度[J]. 数学季刊, 2015, 30(3): 349-357.

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.

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模糊软集的相似测度和距离测度

On Similarity Measures and Distance Measures of Fuzzy Soft Sets

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