Fuzzy Inner Product and Fuzzy Norm \\of Hyperspaces

We introduce and  study  fuzzy (co-)inner product and fuzzy(co-)norm of hyperspaces. In this regard by considering  the notionof hyperspaces, as a generalization of vector spaces, first we willintroduce the notion of fuzzy (co-)inner product in hyperspaces and will apply it to formulate the notions offuzzy (co-)norm and fuzzy (co-)orthogonality  in hyperspaces. Inparticular, we will prove that to every fuzzy hyperspace  there is an associatedunique fuzzy inner product  in  a natural way.

کلیدواژه ها:

Fuzzy hyperspace ، Fuzzy (co-)inner product ، Fuzzy (co-)norm ، Fuzzy (co-)orthogonality