Keywords : norm
Journal of Al-Qadisiyah for Computer Science and Mathematics,
2013, Volume 5, Issue 2, Pages 1-7
We introduce the definition of a two-fuzzy pre Hilbert space (two-fuzzy inner product space) and discuss some properties of this spaces ,and we use the definition of two-fuzzy pre Hilbert space to introduce the definitions of (level complete in two-fuzzy Hilbert , fuzzy orthogonality) . Also, introduce some important theorems with their proofs. Moreover, crisp inner product and orthogonality are established .