Fuzzy normed linear spaces are not classical normable in general

In this paper Felbin‘s type fuzzy normed linear spaces are considered and it is shown that the category of fuzzy normed linear spaces is isomorphic to a subcategory of the category of topological vector spaces. Furthermore, by an example we show that ,in general, a fuzzy normed linear space is not normable in classical analysis sense.

Keywords:

Fuzzy number , Fuzzy normed linear space , Fuzzy bounded operator , Category theory