New similarity measures between intuitionistic fuzzy sets and between elements

被引:127
|
作者
Liu, HW [1 ]
机构
[1] Shandong Univ, Sch Math & Syst Sci, Jinan 250100, Peoples R China
关键词
fuzzy sets; intuitionistic fuzzy sets; vague sets; similarity measures; pattern recognition;
D O I
10.1016/j.mcm.2005.04.002
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Li and Cheng [1] and Hong and Kim [2] proposed several similarity measures between intuitionistic fuzzy sets and between vague sets, respectively. In this paper, by analyzing these similarity measures, we show that they are not reasonable in some cases. Some new methods for measuring the degree of similarity between intuitionistic fuzzy sets and between elements are proposed and their properties are discussed. These new methods turned out to be more reasonable by comparison. Finally, we use the same examples given by Li and Cheng [1] to show the application of the new measure methods in pattern recognition. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码:61 / 70
页数:10
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