Categories isomorphic to (L , M ) -DFTOP

Authors

1 Department of Mathematics, Faculty of Science, Beni-suef University, Egypt

2 Department of Mathematics, Faculty of Science and Arts at Balgarn, P.O. Box 60, Sabt Al-Alaya 61985, Bisha University, Saudi Arabia

Abstract

The aim of this paper is to introduce the notion of (L , M) -double fuzzy quasicoincident
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 under-
stand (L , M) - DFTOP , several categories were introduced.

Keywords