Document Type : Research Paper
Authors
- Ildar Sadeqi ^{1}
- Farnaz Yaqub Azari ^{} ^{2}
^{1} Department of Mathematics, Faculty of Science, Sahand University of Technology, Tabriz, Iran.
^{2} University of Payame noor, Tabriz, Iran.
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.
Keywords
- Category of probabilistic normed space
- Category of topological vector space
- Fuzzy continuous operator
Main Subjects
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