ON FUZZY IMPLICATION OPERATORS

被引:153
作者
FODOR, JC
机构
[1] Computer Center, Eötvös Loránd University, H-1502 Budapest 112
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
收藏
页码:293 / 300
页数:8
相关论文
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].
FODOR, JC .
FUZZY SETS AND SYSTEMS, 1991, 41 (02) :195-199
[5]   SOLUTIONS OF COMPOSITE FUZZY RELATIONAL EQUATIONS WITH TRIANGULAR NORMS [J].
MIYAKOSHI, M ;
SHIMBO, M .
FUZZY SETS AND SYSTEMS, 1985, 16 (01) :53-63
[6]  
Schweizer B., 1983, PROBABILISTIC METRIC
[7]  
Trillas E., 1985, MANAGE DECIS, P198, DOI DOI 10.1016/B978-1-4832-1450-4.50013-4
[9]  
Wilmott R, 1980, FUZZY SETS SYSTEMS, V4, P31
[10]   AN APPROACH TO INFERENCE IN APPROXIMATE REASONING [J].
YAGER, RR .
INTERNATIONAL JOURNAL OF MAN-MACHINE STUDIES, 1980, 13 (03) :323-338