ON FUZZY IMPLICATION OPERATORS

被引：153

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.

引用

页码：293 / 300

页数：8

共 10 条

[1]

BANDLER W, 1981, FUZZY REASONING ITS, P219

[2]

Dubois D., 1984, BUSEFAL, V18, P33

[3]

FODOR J, IN PRESS FUZZY SETS

[4] A REMARK ON CONSTRUCTING T-NORMS [J].