Fuzzy Inner Product and Fuzzy Norm \of Hyperspaces

author

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

volume 11  issue 3

pages  125- 136

publication date 2014-06-30

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