摘要
本文定义了从一个Ｆｕｚｚｙ集到另外一个Ｆｕｚｚｙ集的映射，称之为Ｆｕｚｚｙ映射，它不同于以往人们习惯用的“模糊映射”；给出了Ｆｕｚｚｙ映射的等价条件并研究了Ｆｕｚｚｙ映射的性质；基于这样的Ｆｕｚｚｙ映射定义了Ｆｕｚｚｙ集的基数，简称为Ｆ基数，讨论了它的基本性质；最后说明了Ｆ基数对于连续统假设的影响。
As one of the most important concepts,mappings are researched sufficiently.In this paper,we discuss in detail the properties of fuzzy mappings and give the definition for fuzzy cardinal numbers which are the cardinal numbers of fuzzy sets and is a difficult problem in fuzzy mathematics.It is considered that fuzzy mappings will lay a good foundation for researching fuzzy calculus.
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
1994年第2期177-186,共10页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金
国家教委博士点基金
关键词
F基数
模糊映射
模糊集
Fuzzy Relations
Fuzzy Mappings
Fuzzy Cardinal Numbers
CH.
