Fuzzy Inner Product and Fuzzy Norm \of Hyperspaces

Author(s):
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, first 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.
Language:
English
Published:
Iranian journal of fuzzy systems, Volume:11 Issue: 3, Jun 2014
Pages:
125 to 136
https://www.magiran.com/p1275083  
سامانه نویسندگان
  • Ameri، Reza
    Author
    Ameri, Reza
    Professor Department of Mathematics, School of Mathematics, Statistics and Computer Science, University of Tehran, تهران, Iran
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