A CHARACTERIZATION OF THE HAMACHER FAMILY OF T-NORMS

被引：17

作者：

FODOR, JC ^{[1
]}

KERESZTFALVI, T ^{[1
]}

机构：

[1] EOTVOS LORAND UNIV, POB 157, H-1502 BUDAPEST 112, HUNGARY

来源：

FUZZY SETS AND SYSTEMS | 1994年 / 65卷 / 01期

关键词：

FUZZY LOGIC; CONJUNCTIONS; IMPLICATIONS; T-NORMS; HAMACHER FAMILY OF T-NORMS;

D O I：

10.1016/0165-0114(94)90246-1

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Starting from a fuzzy conjunction, there are two main ways of defining a fuzzy implication operator. A functional equation for t-norms is obtained and studied which describes the equality of these two implications when the underlying conjunction has a particular form defined from a t-norm. The solution makes clear that this functional equation, together with an additional condition, provides a complete characterization of the Hamacher family of t-norms having positive parameter.

引用

页码：51 / 58

页数：8

共 7 条

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[2]

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[4]

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[5]

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[6]

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[7]

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