Paper Information

Journal:   IRANIAN JOURNAL OF FUZZY SYSTEMS   2014 , Volume 11 , Number 3; Page(s) 125 To 136.
 
Paper: 

FUZZY INNER PRODUCT AND FUZZY NORM OF HYPERSPACES

 
 
Author(s):  AMERI R.
 
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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 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.

 
Keyword(s): FUZZY HYPERSPACE, FUZZY (CO-)INNER PRODUCT, FUZZY (CO-)NORM, FUZZY (CO-) ORTHOGONALITY
 
References: 
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