$L$-Closure Operators and $L$-Fuzzy Pre-Proximities

Abstract

In this paper, we introduce the notions of L-fuzzy pre-proximities and L-interior operators in complete residuated lattices. We obtain the L-fuzzy pre-proximities induced by Lclosure operators. Moreover, we investigate the relations between the L-fuzzy pre-proximities and L-closure operators. We give their examples.