About the construction of fuzzy inner product
نویسندگان
چکیده
منابع مشابه
Fuzzy Inner Product and Fuzzy Norm \of Hyperspaces
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 ...
متن کاملA Comparative Study of Fuzzy Inner Product Spaces
In the present paper, we investigate a connection between two fuzzy inner product one of which arises from Felbin's fuzzy norm and the other is based on Bag and Samanta's fuzzy norm. Also we show that, considering a fuzzy inner product space, how one can construct another kind of fuzzy inner product on this space.
متن کاملfuzzy inner product and fuzzy norm of hyperspaces
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 ...
متن کاملProperties of Fuzzy Inner Product Spaces
has been introduced by several authors like Ahmed and Hamouly [1], Kohli and Kumar [5], Biswas [4], etc. Also the notion of fuzzy norm on a linear space was introduced by Katsaras [9]. Later on many other mathematicians like Felbin [3], Cheng and Mordeso [10], Bag and Samanta [6], etc, have given different definitions of fuzzy normed spaces. In recent past lots of work have been done in the top...
متن کاملAbout the fuzzy grade of the direct product of two hypergroupoids
The aim of this paper is the study of the sequence of join spacesand fuzzy subsets associated with a hypergroupoid. In thispaper we give some properties of the membership function$widetildemu_{otimes}$ corresponding to the direct pro-duct oftwo hypergroupoids and we determine the fuzzy grade of thehypergroupoid $langle Htimes H, otimesrangle$ in a particularcase.
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ژورنال
عنوان ژورنال: Baghdad Science Journal
سال: 2006
ISSN: 2411-7986,2078-8665
DOI: 10.21123/bsj.3.3.456-464