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

Journal: Sahand Communications in Mathematical Analysis (Vol.1, No. 2)

Publication Date:

Authors : ;

Page : 65-75

Keywords : Fuzzy Set; Normed Space; Complete Set;

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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.

Last modified: 2015-08-17 13:28:01