S- and R-implications from uninorms continuous in ]0, 1[2 and their distributivity over uninorms

被引：50
|
作者：
Ruiz-Aguilera, D. [1 ]
Torrens, J. [1 ]
机构：
[1] Univ Balearic Isl, Dept Math & Comp Sci, Palma de Mallorca 07122, Spain
来源：
FUZZY SETS AND SYSTEMS | 2009年 / 160卷 / 06期
关键词：
Uninorm; S-implication; R-implication; Contrapositive symmetry; Exchange principle; Distributivity; RESIDUAL IMPLICATIONS;
D O I：
10.1016/j.fss.2008.05.015
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
This work deals with two kinds of implications derived from uninorms continuous in ]0, 1[(2): S-implications and R-implications. In both cases, the general expression of such implications is found and several properties are studied. In particular, the distributivity of the S- and R-implications over conjunctive and disjunctive uninorms is investigated. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码：832 / 852
页数：21
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