Mathematical analysis of interval-valued fuzzy relations: Application to approximate reasoning

被引：114

作者：

Bustince, H ^{[1
]}

Burillo, P ^{[1
]}

机构：

[1] Univ Publ Navarra, Dept Automat & Comp, Pamplona 31006, Spain

来源：

FUZZY SETS AND SYSTEMS | 2000年 / 113卷 / 02期

关键词：

interval-valued fuzzy sets; interval-valued fuzzy relations; t-norm and t-conorm; composition of interval-valued fuzzy relations; approximate reasoning; fuzzy inference; inference methods;

D O I：

10.1016/S0165-0114(98)00020-7

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, interval-valued fuzzy relations between sets X and Y are introduced as fuzzy subsets of the cartesian product X x Y, and t-norms and t-conorms are chosen in such a way that as many properties of relations in 2-valued logic are preserved. Besides, we will see that if we require certain reasonable properties, including distributivity, then we end up with the only possible choice: min and max. Finally, as an example, a method of inference in approximate reasoning for the one-dimensional case based on interval-valued fuzzy sets is considered and discussed using the idea of interval-valued fuzzy relations. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：205 / 219

页数：15

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