Categories isomorphic to (L,M)-DFTOP

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.