CHARACTERIZATION OF FUZZY COMPLETE NORMED SPACE AND FUZZY B-COMPLETE SET

The present paper introduces the notion of the com- plete 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 char- acterizations of their properties are obtained.