On a class of distributive fuzzy implications

被引：47

作者：

Baczynski, M ^{[1
]}

机构：

[1] Silesian Univ, Inst Math, PL-40007 Katowice, Poland

来源：

INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS | 2001年 / 9卷 / 02期

关键词：

fuzzy implication; strict t-norm; conjugate implications; functional equation;

D O I：

10.1142/S0218488501000764

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

We deal with the system of functional equations I(x,T(y,z)) = T(I(x,y),I(x,z)), I(x, I(y,z)) = I(T(x,y),z), where function T: [0,1](2) --> [0,1] is a strict t-norm and I: [0, 1](2) --> [0,1] is an unknown function. Under some assumptions imposed on function I we obtain that I is almost conjugate with the Yager fuzzy implication.

引用

页码：229 / 238

页数：10

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