New Construction for Similarity Measures between Intuitionistic Fuzzy Sets Based on Lower, Upper and Middle Fuzzy Sets

被引：0
作者：
Hwang, Chao-Ming [2 ]
Yang, Miin-Shen [1 ]
机构：
[1] Chung Yuan Christian Univ, Dept Appl Math, Chungli 32023, Taiwan
[2] Chinese Culture Univ, Dept Appl Math, Taipei, Taiwan
来源：
INTERNATIONAL JOURNAL OF FUZZY SYSTEMS | 2013年 / 15卷 / 03期
关键词：
Fuzzy set; intuitionistic fuzzy set; similarity measure; lower; upper and middle fuzzy sets;
D O I：
暂无
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 of intuitionistic fuzzy sets is an important measure to indicate the similarity degree between intuitionistic fuzzy sets. Based on the information carried by transforming intuitionistic fuzzy sets into their lower, upper and middle fuzzy sets, we propose a new construction for similarity measures between intuitionistic fuzzy sets. The proposed construction method on similarity measures between intuitionistic fuzzy sets satisfies the definition of a similarity between intuitionistic fuzzy sets. Moreover, we can reconstruct most existing similarity measures between intuitionistic fuzzy sets based on our new construction technique so that they can improve these original similarity measures to be better similarities. To demonstrate this construction efficiency, the comparisons of these reconstructed measures with original similarity measures between intuitionistic fuzzy sets are made. The comparison results show that our construction methods actually improve most existing similarity measures between intuitionistic fuzzy sets.
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收藏
页码：371 / 378
页数：8
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