%0 Journal Article
%T THE UNIFORM BOUNDEDNESS PRINCIPLE IN FUZZIFYING TOPOLOGICAL LINEAR SPACES
%J Iranian Journal of Fuzzy Systems
%I University of Sistan and Baluchestan
%Z 1735-0654
%A Yan, Cong-hua
%D 2018
%\ 06/30/2018
%V 15
%N 3
%P 141-151
%! THE UNIFORM BOUNDEDNESS PRINCIPLE IN FUZZIFYING TOPOLOGICAL LINEAR SPACES
%K Fuzzifying topological linear spaces
%K Fuzzy equiequicontinuous
%K Uniform boundedness principle
%K Fuzzy the second category
%K topology
%R 10.22111/ijfs.2018.3954
%X The main purpose of this study is to discuss the uniform boundednessprinciple in fuzzifying topological linear spaces. At first theconcepts of uniformly boundedness principle and fuzzy equicontinuousfamily of linear operators are proposed, then the relations betweenfuzzy equicontinuous and uniformly bounded are studied, and with thehelp of net convergence, the characterization of fuzzyequicontinuous is proved. Finally, the famous theorem of the uniformboundedness principle is presented in fuzzifying topological linearspaces.
%U https://ijfs.usb.ac.ir/article_3954_03ebcd6daab1bbc9b50d40b8b3e1e6e1.pdf