L-fuzzy pre-proximities and application to L-fuzzy topologies

摘要

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 showthat 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.