On (un)suitable fuzzy relations to model approximate equality

被引：52

作者：

De Cock, M ^{[1
]}

Kerre, E ^{[1
]}

机构：

[1] Univ Ghent, Dept Appl Math & Comp Sci, B-9000 Ghent, Belgium

来源：

FUZZY SETS AND SYSTEMS | 2003年 / 133卷 / 02期

关键词：

fuzzy relations; fuzzy equivalence relations; resemblance relations; approximate reasoning;

D O I：

10.1016/S0165-0114(02)00239-7

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper we state that fuzzy equivalence relations in general are not suitable to model approximate equality, since then the notion of transitivity is counter-intuitive. To substantiate this we investigate some of the undesirable results caused by transitivity, among other things in the case of approximate reasoning. We then introduce a new framework to model approximate equality, i.e. the concept of a pseudometric based resemblance relation. We go into the properties of this new kind of fuzzy relation and illustrate it by means of some examples. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：137 / 153

页数：17

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