(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}.