International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/2802 2020 2020 Department of Mathematics, Faculty of Education and Sciences, Universidad de Sucre, Sincelejo, Colombia Jos Jos´e Department of Mathematics, Faculty of Education and Sciences, Universidad de Sucre, Sincelejo, Colombia Alexandra Barroso Department of Mathematics, Faculty of Natural Sciences and Mathematics, Escuela Superior Polit´ecnica del Litoral (ESPOL), Campus Gustavo Galindo, Guayaquil, Ecuador Jorge Vielma In this research work, basic concepts and properties are considered within the context of a generalized topological space (X, μ), as tools to generate a new generalized topology bμ by means of a μ-base formed by the μ-interiors of μ-closed sets. This leads to an exploration of the relationship between some of the properties of the generalized topologies μ and bμ, such as generalized separation axioms, generalized connectedness, generalized continuity, generalized topological sum, and generalized product topology. 2024 2024 77 84 10.54216/IJNS.240307 https://www.americaspg.com/articleinfo/21/show/2802