摘要
本文首先定义了Ｆｕｚｚｙ集的等势关系和Ｆｕｚｚｙ集的势，并讨论了有关Ｆｕｚｚｙ集的势的若干命题，然后在自然数集上定义了可数Ｆｕｚｚｙ基数。最后给出了确定可数论域上Ｆｕｚｚｙ集的Ｆｕｚｚｙ基数的方法，并对其若干性质进行了讨论。上述定义均以经典集论中相应定义为特款。
In this paper,the equinumerous relation and the powers of fuzzy sets are defined,and some propositions about them are discussed.Then the conutable fuzzy cardinals(or-dinals)is defined on the natural number set N。The method to find the fuzzy cardinals of afuzzy set definedon a countable universe of discourse X and the properties of this kindofcardinals are offered at last.All of these definitions coincide the relative definitions inclassical set theory respectively。
出处
《模糊系统与数学》
CSCD
1994年第1期10-16,共7页
Fuzzy Systems and Mathematics
关键词
模糊集
可数模糊基数
势
Power of fuzzy set,Countable fuzzy cardinals, Countable fuzzy cardi-nals of fuzzy set。
