Moradi, H. (2014). Characterization of fuzzy complete normed space and fuzzy b-complete set. Sahand Communications in Mathematical Analysis, 1(2), 65-75.

Hamid Reza Moradi. "Characterization of fuzzy complete normed space and fuzzy b-complete set". Sahand Communications in Mathematical Analysis, 1, 2, 2014, 65-75.

Moradi, H. (2014). 'Characterization of fuzzy complete normed space and fuzzy b-complete set', Sahand Communications in Mathematical Analysis, 1(2), pp. 65-75.

Moradi, H. Characterization of fuzzy complete normed space and fuzzy b-complete set. Sahand Communications in Mathematical Analysis, 2014; 1(2): 65-75.

Characterization of fuzzy complete normed space and fuzzy b-complete set

^{}Department of Mathematics, Qaemshhar Branch, Islamic Azad University, Qaemshahr, Iran.

Abstract

The 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.

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