A novel similarity measure between intuitionistic fuzzy sets based on the centroid points of transformed fuzzy numbers with applications to pattern recognition

被引：165
|
作者：
Chen, Shyi-Ming [1 ]
Cheng, Shou-Hsiung [2 ,3 ]
Lan, Tzu-Chun [1 ]
机构：
[1] Natl Taiwan Univ Sci & Technol, Dept Comp Sci & Informat Engn, Taipei, Taiwan
[2] Chien Kuo Technol Univ, Dept Informat Management, Changhua, Taiwan
[3] Chien Kuo Technol Univ, Dept Kinesiol Hlth Leisure Studies, Changhua, Taiwan
来源：
INFORMATION SCIENCES | 2016年 / 343卷
关键词：
Centroid points; Intuitionistic fuzzy values; Intuitionistic fuzzy sets; Right-angled triangular fuzzy numbers; Similarity measures; DECISION-MAKING METHOD; VAGUE SETS; CLUSTERING-ALGORITHM; DISTANCE;
D O I：
10.1016/j.ins.2016.01.040
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 a new similarity measure between intuitionistic fuzzy values based on the centroid points of transformed right-angled triangular fuzzy numbers. We also prove some properties of the proposed similarity measure between intuitionistic fuzzy values. Based on the proposed similarity measure between intuitionistic fuzzy values, we propose a, new similarity measure between intuitionistic fuzzy sets. We also apply the proposed similarity measure between intuitionistic fuzzy sets to deal with pattern recognition problems. The experimental results show that the proposed similarity measure between intuitionistic fuzzy sets can overcome the drawbacks of the existing similarity measures. The proposed similarity measure provides us with a useful way for dealing with pattern recognition problems in intuitionistic fuzzy environments. (C) 2016 Elsevier Inc. All rights reserved.
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页码：15 / 40
页数：26
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