University of Sistan and Baluchestan Iranian Journal of Fuzzy Systems 1735-0654 11 3 2014 06 30 Fuzzy Inner Product and Fuzzy Norm \\of Hyperspaces 125 136 1574 10.22111/ijfs.2014.1574 EN Reza Ameri School of Mathematics, Statistics and Computer Science, College of Sciences, University of Tehran, P.O. Box 14155-6455, Teheran, Iran Journal Article 2011 12 21 We introduce and  study  fuzzy (co-)inner product and fuzzy<br />(co-)norm of hyperspaces. In this regard by considering  the notion<br />of hyperspaces, as a generalization of vector spaces, first we will<br />introduce the notion of fuzzy (co-)inner product in<br /> hyperspaces and will apply it to formulate the notions of<br />fuzzy (co-)norm and fuzzy (co-)orthogonality  in hyperspaces. In<br />particular, we will prove that to every fuzzy hyperspace  there is an associated<br />unique fuzzy inner product  in  a natural way. https://ijfs.usb.ac.ir/article_1574_4cac64e13bac8e33e3034d85825e31b5.pdf