Affiliations: [a] Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt
| [b] Department of Mathematics, Gangneung-Wonju National University, Gangneung, Gangwondo, Korea
Correspondence:
[*]
Corresponding author. A.A. Ramadan, Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt. E-mail: [email protected].
Abstract: 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 show that 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.
