Reza Ameri - School of Mathematics, Statistics and Computer Science, College of Sciences, University of Tehran, P.O. Box ۱۴۱۵۵-۶۴۵۵, Teheran, Iran

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.

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