چكيده فارسي :
In this paper, we investigate some algebraic properties of fuzzy inner product spaces. In this regard, first we present some examples of fuzzy inner product spaces. Then, we introduce a fuzzy inner product space in the Cartesian product of vector spaces. Also, we prove that for a linear transformation T : V -- W, there exists a fuzzy inner product space in V, if and only if there exists a fuzzy inner product space in W. Further, we investigate the relationship between sub-spaces of an arbitrary vector space V and fuzzy inner product space in
V. Finally, we conclude that the sum of two fuzzy inner product spaces in V and scalar product of a fuzzy inner product spaces in V are fuzzy inner product spaces in V
