(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}.

کلیدواژه ها:

LM-fuzzy topology ، (IC) LM-fuzzy topological spaces ، (IC)-fication of LM-fuzzy topology ، category