Yager's classes of fuzzy implications: Some properties and intersections

被引:1
|
作者
Baczynski, Michal [1 ]
Jayaram, Balasubramaniam [1 ]
机构
[1] Silesian Univ, Inst Math, PL-40007 Katowice, Poland
关键词
fuzzy implication; f-generated implication; g-generated implication; h-generated implication; (S; N)-implication; S-implication; R-implication;
D O I
暂无
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
Recently, Yager in the article "On some new classes of implication operators and their role in approximate reasoning" [12] has introduced two new classes of fuzzy implications called the f-generated and g-generated implications. Along similar lines, one of us has proposed another class of fuzzy implications called the h-generated implications. In this article we discuss in detail some properties of the above mentioned classes of fuzzy implications and we describe their relationships amongst themselves and with the well established (S, N)-implications and R-implications. In the cases where they intersect the precise sub-families have been determined.
引用
收藏
页码:157 / 182
页数:26
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