摘要
在LF内部空间中,引入了Q-内部域、α-Q-内部族等概念,并以此定义了F紧集和F仿紧集,给出了它们的特征刻画。证明了F紧集是F仿紧集,F仿紧性是F可乘性。
In L-fuzzy family are introduced, Their characterizations fuzzy paracompactness interior spaces, the concepts of Q-interior neighbourhood and α-Q-interior and fuzzy compact sets and fuzzy paracompact sets are presented by them. are given, it is proved that fuzzy compact sets are fuzzy paracompact sets and, is multiplicative.
出处
《模糊系统与数学》
CSCD
北大核心
2006年第2期88-92,共5页
Fuzzy Systems and Mathematics
基金
山东省自然科学基金资助项目
关键词
模糊拓扑学
LF内部空间
Q-内部域
α-Q-内部族
F仿紧集
F紧集
Fuzzy Topology
L-fuzzy Interior Space
Q-interior Neighbourhood
Q- interior Family
Fuzzy Paracompact Set
Fuzzy Compact Set