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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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