Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
390759 | Fuzzy Sets and Systems | 2009 | 15 Pages |
Abstract
In this paper, we introduce new definitions of L-fuzzy neighborhood systems, L-fuzzy interior operators and L-fuzzy closure operators. Three characterizations of the category L-FTOP of L-fuzzy topological spaces and their L-fuzzy continuous mappings are presented by means of the category L-FNS of L-fuzzy neighborhood spaces and their continuous mappings, the category L-FIS of L-fuzzy interior spaces and their L-fuzzy continuous mappings, and the category L-FCS of L-fuzzy closure spaces and their L-fuzzy continuous mappings.
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