aspg-21-2802-1792744959 20261023084239 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2024 24 3 Jos´e Sanabria Department of Mathematics, Faculty of Education and Sciences, Universidad de Sucre, Sincelejo, Colombia Alexandra Barroso Department of Mathematics, Faculty of Education and Sciences, Universidad de Sucre, Sincelejo, Colombia Jorge Vielma Department of Mathematics, Faculty of Natural Sciences and Mathematics, Escuela Superior Polit´ecnica del Litoral (ESPOL), Campus Gustavo Galindo, Guayaquil, Ecuador 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 77 84 2802 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.240307 https://americaspg.com/journal/21/article/2802 https://americaspg.com/storage/81715762661.pdf