Bayaz Daraby - Department of Mathematics, University of Maragheh, Maragheh, Iran

Are nite dimensional fuzzy normed spaces simpler than in nite dimensional ones? These questionsare rather natural. They are important since nite dimensional spaces and subspaces play a role in variousconsiderations (for instance, in approximation theory). Quite a number of interesting results can be saidin this connection. Hence it is worthwhile to collect some relevant facts, for their own sake and as toolsfor our further work. This is our program in this section and the next one.

Finite dimensional fuzzy normed spaces; Fuzzy norm; Fuzzy Felbin norm