| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 391059 | Fuzzy Sets and Systems | 2007 | 11 Pages |
Abstract
The aim of this paper is to study induced LM-fuzzy topological spaces. Firstly, we study the stratifications of LM-fuzzy topologies and show that SLM-FTOP—the category of stratified LM-fuzzy topological spaces—is a coreflective full subcategory of LM-FTOP. Secondly, we study Kubiak–Lowen functors ω and ι in LM-fuzzy topological spaces. We prove that M-FYS is isomorphic to ILM-FTOP—the category of induced LM-fuzzy topological spaces—and ILM-FTOP is a reflective and coreflective full subcategory of SLM-FTOP. Finally, we study weakly induced modification of LM-fuzzy topologies and show that WILM-FTOP—the category of weakly induced LM-fuzzy topological spaces—is a reflective and coreflective full subcategory of LM-FTOP.
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