Author/Authors :
Halis Aygun، Halis Aygun نويسنده Halis Aygun, Halis Aygun , Vildan Cetkin، Vildan Cetkin نويسنده Vildan Cetkin, Vildan Cetkin , S. E. Abbas، S. E. Abbas نويسنده S. E. Abbas, S. E. Abbas
Abstract :
Abstract. The aim of this paper is to introduce (L,M)-fuzzy closure structure
where L and M are strictly two-sided, commutative quantales. Firstly,
we define (L,M)-fuzzy closure spaces and get some 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)-FC of (L,M)-fuzzy closure spaces and (L,M)-C-maps is a topological
category over the category SET. From this fact, we define products
of (L,M)-fuzzy closure spaces. Finally, we show that an initial structure of
(L,M)-double fuzzy topological spaces can be obtained by the initial structure
of (L,M)-fuzzy closure spaces induced by those.
