University of MaraghehSahand Communications in Mathematical Analysis2322-580701220141201Characterization of fuzzy complete normed space and fuzzy b-complete set657511280ENHamid Reza MoradiDepartment of Mathematics, Qaemshhar Branch, Islamic Azad University, Qaemshahr, Iran.Journal Article20140530The present paper introduces the notion of the complete fuzzy norm on a linear space. And, some relations between the fuzzy completeness and ordinary completeness on a linear space is considered, moreover a new form of fuzzy compact spaces, namely b-compact spaces and b-closed spaces are introduced. Some characterizations of their properties are obtained.http://scma.maragheh.ac.ir/article_11280_7a399dbd2cdc54a494672cf68cd9ec1a.pdf