(IC)LM-FUZZY TOPOLOGICAL SPACES

The aim of the present paper is to define and study (IC)$LM$-fuzzytopological spaces, a generalization of (weakly) induced $LM$-fuzzytopological spaces. We discuss the basic properties of(IC)$LM$-fuzzy topological spaces, and introduce the notions ofinterior (IC)-fication and exterior (IC)-fication of $LM$-fuzzytopologies and prove that {bf ICLM-FTop} (the category of(IC)$LM$-fuzzy topological spaces) is an isomorphism-closed fullproper subcategory of {bf LM-FTop} (the category of $LM$-fuzzytopological spaces) and {bf ICLM-FTop} is a simultaneouslybireflective and bicoreflective full subcategory of {bf LM-FTop}.