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(IC)LM-FUZZY TOPOLOGICAL SPACES | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 10، دوره 9، شماره 6، اسفند 2012، صفحه 123-133 اصل مقاله (387.19 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2012.124 | ||
نویسنده | ||
Hai-Yang Li | ||
School of Science, Xi'an Polytechnic University, Xi'an 710048, P. R. China | ||
چکیده | ||
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}. | ||
کلیدواژهها | ||
LM-fuzzy topology؛ (IC) LM-fuzzy topological spaces؛ (IC)-fication of LM-fuzzy topology؛ category | ||
مراجع | ||
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