Fuzzy Inner Product and Fuzzy Norm \of Hyperspaces
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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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