(IC)LM-FUZZY TOPOLOGICAL SPACES

Document Type: Research Paper

Author

School of Science, Xi'an Polytechnic University, Xi'an 710048, P. R. China

Abstract

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

Keywords


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