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Menger Probabilistic Normed Space Is A Category Topological Vector Space
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نویسنده
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Sadeqi Ildar ,Yaqub Azari Farnaz
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منبع
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Sahand Communications In Mathematical Analysis - 2016 - دوره : 3 - شماره : 2 - صفحه:25 -32
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چکیده
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In this paper, we formalize the menger probabilistic normed space as a category in which its objects are the menger probabilistic normed spaces and its morphisms are fuzzy continuous operators. then, we show that the category of probabilistic normed spaces is isomorphicly a subcategory of the category of topological vector spaces. so, we can easily apply the results of topological vector spaces in probabilistic normed spaces.
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کلیدواژه
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Category Of Probabilistic Normed Space ,Category Of Topological Vector Space ,Fuzzy Continuous Operator
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آدرس
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Sahand University Of Technology, ایران, Payame Noor University, ایران
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Authors
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