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L-fuzzy pre-proximities and application to L-fuzzy topologies
Ist Teil von
Journal of intelligent & fuzzy systems, 2020-04, Vol.38 (4), p.4049-4060
Ort / Verlag
Amsterdam: IOS Press BV
Erscheinungsjahr
2020
Quelle
BSC - Ebsco (Business Source Ultimate)
Beschreibungen/Notizen
In this paper, we investigate the relations between the L-fuzzy pre-proximities, L-fuzzy interior operators and L-fuzzy topological spaces in complete residuated lattices. In addition, degrees of L-fuzzy continuity, L-fuzzy proximity and L-fuzzy interior mappings are proposed and their connections are studied. Also, we show that there is a Galois correspondence between the category of separated L-fuzzy interior spaces and that of separated L-fuzzy pre-proximity spaces. Finally, we give their examples.