Entropy, similarity measure of interval-valued intuitionistic fuzzy sets and their applications

被引：280
|
作者：
Wei, Cui-Ping [1 ]
Wang, Pei [2 ]
Zhang, Yu-Zhong [1 ]
机构：
[1] Qufu Normal Univ, Coll Operat & Management, Rizhao 276826, Shandong, Peoples R China
[2] Beijing Inst Technol, Sch Management & Econ, Beijing 100086, Peoples R China
来源：
INFORMATION SCIENCES | 2011年 / 181卷 / 19期
基金：
中国国家自然科学基金;
关键词：
Interval-valued intuitionistic fuzzy set; Entropy; Similarity measure; VAGUE SETS; DISTANCE;
D O I：
10.1016/j.ins.2011.06.001
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper we propose an entropy measure for interval-valued intuitionistic fuzzy sets, which generalizes three entropy measures defined independently by Szmidt, Wang and Huang, for intuitionistic fuzzy sets. We also give an approach to construct similarity measures using entropy measures for interval-valued intuitionistic fuzzy sets. In particular, the proposed entropy measure for interval-valued intuitionistic fuzzy sets can yield a similarity measure. Several illustrative examples are given to demonstrate the practicality and effectiveness of the proposed formulas. We apply the similarity measure to solve problems on pattern recognitions, multi-criteria fuzzy decision making and medical diagnosis. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：4273 / 4286
页数：14
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