Abstract
Abstract The aim of this paper is to introduce the notion of ( L,M )-double fuzzy quasi-coincident neighborhood system, and investigate the relationships between ( L,M )-double fuzzy quasi-coincident neighborhood spaces and ( L,M )-double fuzzy topological spaces in the category aspect. Also, we give a characterization of ( L,M )-DFTOP, which is called compatible antichain L -double topologies and consider the categorical connections between them. Finally, to better understand ( L,M )- DFTOP , several categories were introduced.
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