An axiomatic approach to fuzzy cardinalities of finite fuzzy sets

被引：31

作者：

Casasnovas, J ^{[1
]}

Torrens, J ^{[1
]}

机构：

[1] Univ Illes Balears, Dpt Ciencies Matemat & Informat, E-07071 Palma de Mallorca, Spain

来源：

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

关键词：

fuzzy numbers; fuzzy sets; generalized natural numbers; cardinality;

D O I：

10.1016/S0165-0114(02)00345-7

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

An axiomatic definition of fuzzy cardinalities for finite fuzzy sets, defined by means of a convex fuzzy set on the natural numbers, is presented in such a way that it includes the fuzzy cardinalities defined by authors like Zadeh, Ralescu, Dubois, Wygralak, and characterizes the cardinalities that fulfill the additivity property by means of the extended addition of fuzzy numbers. Such cardinalities result defined by two functions, one nondecreasing and the other nonincreasing in a similar way to the scalar cardinality (Fuzzy Sets and Systems 110 (2000) 175). (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：193 / 209

页数：17

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