L-fuzzy Locale Theory and a L-fuzzy Topological Representation for Distributive Lattice

Abstract:

      The category of L-fuzzy locaks is introduced, and it is proved that the relation be-tween this category and the category of Stratified L-fuzzy topological spaces is analogousto that between locales and topological spaces. The localic L-fuzzy version of Stone’srepresentation theorem for distributive lattices is established, and it is proved that, inparalleI to classical results, the point space of the localic fuzzy Stone’s representation of adistributive lattice coincides with its L-fuzzy spectral space.