An axiomatic approach to scalar cardinalities of fuzzy sets

被引：36

作者：

Wygralak, M ^{[1
]}

机构：

[1] Adam Mickiewicz Univ, Fac Math & Comp Sci, PL-60769 Poznan, Poland

来源：

FUZZY SETS AND SYSTEMS | 2000年 / 110卷 / 02期

关键词：

scalar cardinality of fuzzy set; membership function;

D O I：

10.1016/S0165-0114(97)00413-2

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We present an axiomatic approach to scalar cardinalities of fuzzy sets which is based on a system of three simple postulates. A characterization theorem for those cardinalities is given. The infinite family of possible scalar cardinalities of a fuzzy set generated by the postulates contains as particular cases all standard concepts of scalar cardinality, e.g. the sigma count of a fuzzy set, the cardinality of its core or support, and the cardinality of its t-level set. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：175 / 179

页数：5

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