Fuzzy Inner Product and Fuzzy Norm \\of Hyperspaces

Document Type: Research Paper


School of Mathematics, Statistics and Computer Science, College of Sciences, University of Tehran, P.O. Box 14155-6455, Teheran, Iran


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


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