Monotonic similarity measures between intuitionistic fuzzy sets and their relationship with entropy and inclusion measure

被引：25

作者：

Deng, Guannan ^{[1
]}

Jiang, Yanli ^{[1
]}

Fu, Jingchao ^{[1
]}

机构：

[1] Northeast Dianli Univ, Coll Sci, Chuanying 132012, Jilin, Peoples R China

来源：

INFORMATION SCIENCES | 2015年 / 316卷

基金：

中国国家自然科学基金;

关键词：

Intuitionistic fuzzy sets; Similarity measure; Monotonic similarity measure; Entropy; Inclusion measure; PATTERN-RECOGNITION; VAGUE SETS;

D O I：

10.1016/j.ins.2015.04.028

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Similarity measure is an important tool for determining the degree of similarity between two objects. Since the introduction of intuitionistic fuzzy sets, similarity measures between intuitionistic fuzzy sets have gained attention for their application in various fields. In this paper, the monotonicity of similarity measures between intuitionistic fuzzy sets are investigated. Firstly, by means of analyzing the geometrical relation between intuitionistic fuzzy sets, three types of monotonicity properties are defined. And then, the properties and the relationship with entropy and inclusion measure of these monotonic similarity measures are discussed. Finally, some existing monotonic similarity measures in literature are summarized and some new monotonic similarity measures and their applications are proposed and presented. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：348 / 369

页数：22

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