On left and right uninorms on a finite chain

被引：42

作者：

Mas, M ^{[1
]}

Monserrat, M ^{[1
]}

Torrens, J ^{[1
]}

机构：

[1] Univ Illes Balears, Dpt Ciencies Matemat & Informat, Palma de Mallorca 07122, Spain

来源：

FUZZY SETS AND SYSTEMS | 2004年 / 146卷 / 01期

关键词：

t-norm; t-conorm; uninorm; non-commutativity; smoothness; finite chain;

D O I：

10.1016/j.fss.2003.11.002

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

The main concern of this paper is to introduce and characterize the class of operators on a finite chain L, having the same properties of pseudosmooth uninorms but without commutativity. Moreover, in this case it will only be required the existence of a one-side neutral element. These operators are characterized as combinations of AND and OR operators of directed algebras (smooth t-norms and smooth t-conorms) and the case of pseudosmooth uninorms is retrieved for the commutative case. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：3 / 17

页数：15

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