This article gives results on fxed complete lattice L-fuzzy pre-proximities, L-fuzzy grills
and L-fuzzy flters. Moreover, we investigate the relations among the L-fuzzy pre-prox‑
imities , L-fuzzy grills and L-fuzzy flters. We show that there is a Galois correspondence
between the category of separated L-fuzzy grill spaces and that of separated L-fuzzy
pre-proximity spaces. We introduced the local function associated with L-fuzzy grill and
L-fuzzy topology and studied some of its properties. Finally, we build an L-fuzzy topol‑
ogy for the corresponding L-fuzzy grill by using local function.