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On compactness of induced I(L)-fuzzy topological spaces

✍ Scribed by Yixiang Chen

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
432 KB
Volume
88
Category
Article
ISSN
0165-0114

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✦ Synopsis

The induced I(L)-fuzzy topological spaces for L-fuzzy topological spaces introduced by Wang Geping is a kind of important fuzzy topological space. In this paper, the author studies the fuzzy compactness of induced I(L)-fuzzy topological spaces. Some available relations between molecular nets of an L-fuzzy topological space and that of its induced I(L)-fuzzy topological space are firstly presented. By using these relations, the author obtains that the induced l(L)-fuzzy topological space is strong fuzzy compact (resp. fuzzy compact, N-compact) if and only if the L-fuzzy topological space is strong fuzzy compact (resp. fuzzy compact, N-compact). The author also proves that the induced l(L)-fuzzy topological space is β€’ -paracompact if and only if the L-fuzzy topological space is ,-paracompact. (~)

πŸ“œ SIMILAR VOLUMES

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