Fuzzy Inner Product and Fuzzy Norm \of Hyperspaces
نویسنده
چکیده مقاله:
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.
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 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 ...
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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 ...
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عنوان ژورنال
دوره 11 شماره 3
صفحات 125- 136
تاریخ انتشار 2014-06-30
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