TY - JOUR ID - 19784 TI - Menger probabilistic normed space is a category topological vector space JO - Sahand Communications in Mathematical Analysis JA - SCMA LA - en SN - 2322-5807 AU - Sadeqi, Ildar AU - Yaqub Azari, Farnaz AD - Department of Mathematics, Faculty of Science, Sahand University of Technology, Tabriz, Iran. AD - University of Payame noor, Tabriz, Iran. Y1 - 2016 PY - 2016 VL - 03 IS - 2 SP - 25 EP - 32 KW - Category of probabilistic normed space KW - Category of topological vector space KW - Fuzzy continuous operator DO - N2 - 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. UR - https://scma.maragheh.ac.ir/article_19784.html L1 - https://scma.maragheh.ac.ir/article_19784_ea968e7794474539e5edcca66c4af05b.pdf ER -