ON FUZZY IMPLICATION OPERATORS

被引：151
作者：
FODOR, JC
机构：
[1] Computer Center, Eötvös Loránd University, H-1502 Budapest 112
来源：
FUZZY SETS AND SYSTEMS | 1991年 / 42卷 / 03期
关键词：
CONJUNCTION; T-NORM; T-CONORM; WEAK T-NORM; NEGATION; IMPLICATION;
D O I：
10.1016/0165-0114(91)90108-3
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
There exist several constructions for fuzzy implication operators via conjunctions. In this paper we present a unifying approach to the generation of implications and we prove that for a rather general class of conjunctions the generation process is closed. In addition, all well-known families of fuzzy implications are within our framework. The results support that the class of weak t-norms having the Exchange Property seems to be a good model of the conjunction (or equivalently, of intersection) operator in fuzzy set theory.
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页码：293 / 300
页数：8
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