Lattice-valued induced fuzzy topological spaces
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 omega and iota 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. (c) 2007 Elsevier B.V. All rights reserved.
induced lm-fuzzy topological space lm-fuzzy topology kubiak-lowen functors stratified lm-fuzzy topological space weakly induced lm-fuzzy topological space