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.
出处
《模糊系统与数学》
CSCD
北大核心
2010年第4期76-79,共4页
Fuzzy Systems and Mathematics
关键词
L-拓扑空间
重积空间
F紧性
L-topological Space
Multiple Product Space
F-compactness
