L-fuzzy interiors and L-fuzzy closures

Authors:
Fu-Gui Shi
Affiliations:
Department of Mathematics, School of Science, Beijing Institute of Technology, Beijing 100081, PR China
Venue:
Fuzzy Sets and Systems
Year:
2009

Citing 3
Cited 5

Fuzzy topology: fuzzy closure operator, fuzzy compactness and fuzzy connectedness

Fuzzy Sets and Systems
Initial L-fuzzy closure spaces

Fuzzy Sets and Systems - Topology
Categories isomorphic to L-FTOP

Fuzzy Sets and Systems

Moore--Smith convergence in (L,M)-fuzzy topology

Fuzzy Sets and Systems
Quasi-coincident neighborhood structure of relative I-fuzzy topology and its applications

Fuzzy Sets and Systems
Net-theoretical convergence in (L,M)-fuzzy cotopological spaces

Fuzzy Sets and Systems
Using L-fuzzy sets to introduce information theory into qualitative reasoning

Fuzzy Sets and Systems
L, M-fuzzy topological groups

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology

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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.