Generalization of Kolmogoroff's theorem to L-topological vector spaces
In this paper, the concept of L-fuzzy normed linear spaces is introduced and some of its properties are studied. Then we give a necessary and sufficient condition for L-topological vector spaces to be L-fuzzy normable. This is a generalization of Kolmogoroff's theorem in the classical topological vector spaces to L-topological vector spaces. (C) 2002 Elsevier Science B.V. All rights reserved.
l-topological vector space l-fuzzy normed linear space convex l-fuzzy set bounded l-fuzzy set