Menger probabilistic normed space is a category topological vector space

نویسندگان

  • Ildar Sadeqi Department of Mathematics, Faculty of Science, Sahand University of Technology, Tabriz, Iran.
چکیده مقاله:

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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menger probabilistic normed space is a category topological vector space

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عنوان ژورنال

دوره 03  شماره 2

صفحات  25- 32

تاریخ انتشار 2016-06-01

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