Lowen LM-fuzzy topological spaces (Q419014)

The aim of this paper is to define and study Lowen (L,M)-fuzzy topological spaces. The authors discuss the basic properties of Lowen (L,M)-fuzzy topological spaces, introduce the notions of interior Lowen topology and exterior Lowen topology of an (L,M)-fuzzy topology and prove that LLM-FTop (the category of Lowen (L,M)-fuzzy topological spaces) is isomorphism-closed and simultaneously bireflective and bicoreflective in SLM-FTop (the category of stratified (L,M)-fuzzy topological spaces). Moreover, they also prove that an (L,M)-fuzzy topological space is an induced (L,M)-fuzzy topological space iff it is a Lowen (L,M)-fuzzy topological space and an (IC) (L,M)-fuzzy topological space.