Abstract

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, rst 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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