| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 390424 | Fuzzy Sets and Systems | 2012 | 12 Pages |
The aim of this paper is to define and study Lowen LM-fuzzy topological spaces. We discuss the basic properties of Lowen LM-fuzzy topological spaces, and introduce the notions of interior Lowen topology and exterior Lowen topology of an LM-fuzzy topology and prove that LLM-FTop (the category of Lowen LM-fuzzy topological spaces) is isomorphism-closed and simultaneously bireflective and bicoreflective in SLM-FTop (the category of stratified LM-fuzzy topological spaces). Moreover, we also prove that an LM-fuzzy topological space is an induced LM-fuzzy topological space iff it is a Lowen LM-fuzzy topological space and an (IC)LM-fuzzy topological space.
► The definition of Lowen LM-fuzzy topological spaces is introduced. ► The interior Lowen topology and exterior Lowen topology of an LM-fuzzy topology are introduced. ► Some basic properties and categorical properties of Lowen LM-fuzzy topological spaces are studied. ► It is proved that LLM-FTop is simultaneously bireflective and bicoreflective in SLM-FTop.
