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Article

fuzzy inner product and fuzzy norm of hyperspaces

reza ameri

Abstract

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.

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