^{}Institute of Math., school of Math. and Computer Sciences, Nanjing Normal University, Nanjing Jiangsu 210046, People0 s Republic of China

Abstract

In this paper, a new definition of fuzzy bounded sets and totally fuzzy bounded sets is introduced and properties of such sets are studied. Then a relation between totally fuzzy bounded sets and N-compactness is discussed. Finally, a geometric characterization for fuzzy totally bounded sets in I- topological vector spaces is derived.

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