FUZZY SIMILARITY AND MEASURE OF SIMILARITY WITH LUKASIEWICZ IMPLICATOR

被引：7
|
作者：
Beg, Ismat [1 ]
Ashraf, Samina
机构：
[1] Lahore Univ Management Sci, Dept Math, Lahore 54792, Pakistan
来源：
NEW MATHEMATICS AND NATURAL COMPUTATION | 2008年 / 4卷 / 02期
关键词：
Fuzzy set of similarity; measure of fuzzy similarity;
D O I：
10.1142/S1793005708000994
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Given a universe of discourse X. A fuzzy similarity mapping ST,(Inc) : F(X) x F(X) x F(X) is defined, where F(X) denotes the set of all fuzzy subsets of X. Mapping ST, Inc maps two fuzzy sets A and B to a fuzzy set ST,(Inc)(A, B) in X called their fuzzy set of similarity. A measure of similarity between A and B is then obtained by applying the composite of fuzzy measure and fuzzy similarity mapping on the pair (A, B). Several properties of fuzzy set of similarity and the measure of fuzzy similarity are obtained within the framework of Lukasiewicz fuzzy implicator and its respective t-norm and t-conorm. Many examples of measure of similarity are also constructed.
引用
收藏
页码：191 / 206
页数：16
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