About the Construction of Fuzzy Inner Product Spaces

ln this paper, a new inner product function is given and defined by using the extension prrnciple of Zadeh, which will be called the fuzzy inner product, this inner product together with the space of all fuzzy subsets of the universal inner product space X form the so called fuzzy inner product space or pre - fuzzy Hilbert space which will be denoted by ( p, ., . -)).