LF内部空间的仿紧性  

Paracompactness in L-fuzzy Interior Space

作　　者：赵美香[1] 孟广武[2] 贾志刚[2] 

机构地区：[1]临沂师范学院数学系,山东临沂276005 [2]聊城大学数学科学学院,山东聊城252059

出　　处：《模糊系统与数学》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

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.

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 

分 类 号：O159[理学—数学]