Menger probabilistic normed space is a category topological vector space
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Abstract:
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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Journal title
volume 03 issue 2
pages 25- 32
publication date 2016-06-01
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