不同值域格值拓扑空间中的F紧性  

The F-compactness about the Product of L-fuzzy Topological Spaces with Different Value Ranges

作　　者：陈波[1] 

机构地区：[1]西南大学数学与统计学院,重庆400715

出　　处：《模糊系统与数学》2010年第4期76-79,共4页Fuzzy Systems and Mathematics

摘　　要：讨论了F紧性在不同值域格值拓扑空间中的乘积问题。证明了模糊子集的重积是F紧子集当且仅当每个模糊子集是F紧子集。从而,在重积空间中,F紧性的Tychonoff乘积定理成立。The purpose of this paper is to discussthe F-compactness about the product of L-topological spaces with different value ranges.It is proved that the multiple product of L-fuzzy subsets is F-compact if and only if every L-fuzzy subset is F-compact.Therefore,the Tychonoff product theorem of F-compactness hlods in multiple product L-fuzzy topological spaces.

关 键 词：L-拓扑空间 重积空间 F紧性 

分 类 号：O189[理学—数学]