On concretely both reflective and coreflective subconstructs of Chang fuzzy topological spaces

In this paper, the concretely both reflective and coreflective subconstructs of the construct CFTSof Chang fuzzy topological spaces are characterized and their relationship to such subconstructs of stratifiedfuzzy topological spaces is investigated. Properties of a particular such subconstruct of CFTS, the constructof weak fuzzy neighborhood spaces, are discussed in detail. And it is proved that there exists exactly c suchsubconstructs between the subconstruct of weakly induced spaces and CFTS.

On the Reflectivity and Coreflectivity of L-Fuzzifying Topological Spaces in L-Topological Spaces

In this paper it is proved that for all completely distributive lattices L. the category of L-fuzzifying topological spaces can be wmbedded in the category of L-topological spaces (stratified Chang-Goguen spaces) as a simultaneously bireflective and bicoreflective full subcategory.