On L‑fuzzy closure operators and L‑fuzzy pre‑proximities

Document Type : Original Article

Authors

Mathematics and Computer Science Department, Faculty of Science, Beni-Suef University, Beni Suef, Egypt.

Abstract

The aim of this paper is to investigate the relations among the L-fuzzy pre-proximities,
L-fuzzy closure operators and L-fuzzy co-topologies in complete residuated lattices. We
show that there is a Galois correspondence between the category of separated L-fuzzy
closure spaces and that of separated L-fuzzy pre-proximity spaces and we give their
examples.

Keywords