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L-拓扑空间中的α-紧度

Fuzzy α-compactness Degree in L-topological Spaces
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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.
作者 孟凡友
出处 《模糊系统与数学》 CSCD 北大核心 2012年第2期7-11,共5页 Fuzzy Systems and Mathematics
关键词 L拓-扑 α-开L-集 α-紧性 α-紧度 L-topology α-open L-set α-compactness α-compactness Degree
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