CARDINALITY, QUANTIFIERS, AND THE AGGREGATION OF FUZZY CRITERIA

被引:70
作者
RALESCU, D
机构
[1] Department of Systems Science, Tokyo Institute of Technology, Midori-Ku, Yokohama, 227
基金
美国国家科学基金会;
关键词
FUZZY CARDINALITY; FUZZY CONVEX SET;
D O I
10.1016/0165-0114(94)00177-9
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this paper we are interested in counting the number of elements of a fuzzy set. We study two concepts of fuzzy cardinality: one which gives the answer as a fuzzy set (or fuzzy number) and the other which gives an ordinary integer. Relationships between these concepts and others which have been studied in the literature (e.g. sigma-count) are also investigated. Some properties of the new concepts are studied, such as fuzzy convexity, monotonicity, and additivity. The concepts of fuzzy cardinality are important for a better understanding of fuzzy quantified rules of the form ''Qx's are A'' or ''QA's are B'' where Q is a fuzzy quantifier and A, B are fuzzy sets. We study such rules as well as aggregation rules of the form ''Q of A(1),...A(p) contain x''.
引用
收藏
页码:355 / 365
页数:11
相关论文
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