Some results on Fuzzy Pre- Hilbert Space

Abstract

The aim of this work is to introduce  new definition of fuzzy pre-Hilbert space (fuzzy inner product space) and discussed the relation  between fuzzy pre-Hilbert space and ordinary pre-Hilbert space.

Much attention is paid to the concepts of convergence of sequence (for example Cauchy sequence of fuzzy point) and the concept of boundness of these sequences.