Distributivity of implication operations over t-representable t-norms in interval-valued fuzzy set theory: The case of nilpotent t-norms

被引：12
作者：
Baczynski, Michal [1 ]
机构：
[1] Silesian Univ, Inst Math, PL-40007 Katowice, Poland
来源：
INFORMATION SCIENCES | 2014年 / 257卷
关键词：
Interval-valued fuzzy set; Intuitionistic fuzzy set; Fuzzy implication; Triangular norm; Distributivity; Functional equation; INTUITIONISTIC FUZZY; IMPLICATION OPERATORS; DISJUNCTIVE UNINORMS; RULE CONFIGURATION; INFERENCE; LOGIC; CONSTRUCTION; CONTROLLER; EQUATIONS; CONORMS;
D O I：
10.1016/j.ins.2013.06.013
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this article we discuss the distributive equation of implications T(x,T-1(y,z)) = T-2(T(x,y),T(x,z)) over t-representable t-norms generated from nilpotent t-norms in interval-valued fuzzy sets theory. As a byproduct result we show all solutions of some functional equation related to this case. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：388 / 399
页数：12
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