Article ID Journal Published Year Pages File Type
390759 Fuzzy Sets and Systems 2009 15 Pages PDF
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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Physical Sciences and Engineering Computer Science Artificial Intelligence