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

页码：388 / 399

页数：12

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