Distributivity between uninorms and nullnorms

被引：106

作者：

Drewniak, Jozef ^{[1
]}

Drygas, Pawel ^{[1
]}

Rak, Ewa ^{[1
]}

机构：

[1] Univ Rzeszow, Inst Math, PL-35310 Rzeszow, Poland

来源：

FUZZY SETS AND SYSTEMS | 2008年 / 159卷 / 13期

关键词：

fuzzy connectives; aggregation operators; uninorm; nullnorm; distributivity equation; idempotent operation;

D O I：

10.1016/j.fss.2007.09.015

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Recently the distributivity equation was investigated in families of certain operations (e.g. triangular norms, conorms, uninorms and nullnorms). Generally, the assumption of associativity is not necessary in consideration of distributivity equation. Moreover, if we omit commutativity assumption, consideration of the left and right distributivity conditions is reasonable. Previous results about distributivity between uninorms and nullnorms can be obtained as simple corollaries. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：1646 / 1657

页数：12

共 22 条

[1] On a class of distributive fuzzy implications [J].