L-拓扑空间中的α-紧度  

Fuzzy α-compactness Degree in L-topological Spaces

作　　者：孟凡友[1] 

机构地区：[1]牡丹江师范学院数学系,黑龙江牡丹江157012

出　　处：《模糊系统与数学》2012年第2期7-11,共5页Fuzzy Systems and Mathematics

摘　　要：借助于格L的蕴涵算子,在L-拓扑空间中引入了模糊集的α-紧度的概念。一个L-模糊集G是α-紧的当且仅当它的α-紧度comα(G)=.我们还研究了α-紧度的一系列性质。In this paper, we introduce the notion of the degree to which an L-fuzzy set is fuzzy α-compact in an L-topological space by means of the implication operator of L. An L-fuzzy set G is fuzzy α-compact if and only if its fuzzy α-compactness degree com,（G） = T. Some properties of fuzzy α-compactness degree are investigated.

关 键 词：L拓-扑 α-开L-集 α-紧性 α-紧度 

分 类 号：O159[理学—数学]