on (l;m)-fuzzy closure spaces

the aim of this paper is to introduce $(l,m)$-fuzzy closurestructure where $l$ and $m$ are strictly two-sided, commutativequantales. firstly, we define $(l,m)$-fuzzy closure spaces and getsome relations between $(l,m)$-double fuzzy topological spaces and$(l,m)$-fuzzy closure spaces. then, we introduce initial$(l,m)$-fuzzy closure structures and we prove that the category$(l,m)$-{bf fc} of $(l,m)$-fuzzy closure spaces and$(l,m)$-$mathcal{c}$-maps is a topological category over thecategory {bf set}. from this fact, we define products of$(l,m)$-fuzzy closure spaces. finally, we show that an initialstructure of $(l,m)$-double fuzzy topological spaces can be obtainedby the initial structure of $(l,m)$-fuzzy closure spaces induced bythem.