%0 Journal Article
%T Menger probabilistic normed space is a category topological vector space
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Sadeqi, Ildar
%A Yaqub Azari, Farnaz
%D 2016
%\ 06/01/2016
%V 03
%N 2
%P 25-32
%! Menger probabilistic normed space is a category topological vector space
%K Category of probabilistic normed space
%K Category of topological vector space
%K Fuzzy continuous operator
%R
%X 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.
%U https://scma.maragheh.ac.ir/article_19784_ea968e7794474539e5edcca66c4af05b.pdf