%0 Journal Article
%T Basis of Fuzzy Generalized Topological Space
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Razouki, Abdelhak
%D 2024
%\ 01/01/2024
%V 21
%N 1
%P 347-361
%! Basis of Fuzzy Generalized Topological Space
%K Fuzzy sets
%K Fuzzy generalized
%K Basis
%K Cotopology
%K continuity
%K Weakly fuzzy
%K Openness
%K Closedness
%K Gradation
%K product
%R 10.22130/scma.2023.1983362.1221
%X This paper studies the concept of fuzzy generalized topologies, which are generalizations of smooth topologies and Chang's fuzzy topologies. A basis of fuzzy generalized topological space will be defined as functions from the family of all fuzzy subsets of a non-empty set $ X $ to $ [0, 1] $ and some basic properties of their structure will be obtained. Some characterizations of the basis of fuzzy generalized topology, fuzzy generalized cotopology and the product of fuzzy generalized topological spaces will also be shown.
%U https://scma.maragheh.ac.ir/article_708414_51e4c5d0e27b50f8a3a396407c6a569f.pdf