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Title ON THE FUZZY METRIC SPACES
Type JournalPaper
Keywords fuzzy metric spaces, complete fuzzy metrizable space, Alexandroff theorem
Abstract In this paper we define complete fuzzy metric space and proved that a fuzzy topologically complete subset of a fuzzy metric space is a G set and prove that a converse of Sierpinsky theorem by showing that any G set in a complete metric space is a topologically complete fuzzy metrizable space (Alexandroff Theorem).
Researchers hashem rasouli (Third Researcher), saleh shakeri (Second Researcher), Ghasem Alizadeh Afrouzi (First Researcher)