University of MaraghehSahand Communications in Mathematical Analysis2322-580721120240101Basis of Fuzzy Generalized Topological Space34736170841410.22130/scma.2023.1983362.1221ENAbdelhakRazoukiDepartment of Mathematics and Computer Science, Faculty of Sciences Dhar El mahraz, Sidi Mohamed Ben Abdellah University, B.P. 1769-Atlas Fez, Morocco.0000-0003-1047-902XJournal Article20221222This 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.https://scma.maragheh.ac.ir/article_708414_51e4c5d0e27b50f8a3a396407c6a569f.pdf