International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/2658 2020 2020 Departamento de Matem´aticas, Facultad de Educaci´on y Ciencias, Universidad de Sucre, Sincelejo, Colombia Jos Jos´e Doctorado en Matem´aticas, Universidad de Antioquia, Medell´ın, Colombia Carlos Granados Facultad de Ciencias B´asicas, Ingenier´ıas y Arquitectura, Corporaci´on Universitaria del Caribe-CECAR, Sincelejo, Colombia Carlos Carpintero In this article, we use the notion of neutrosophic local function to introduce a new neutrosophic operator in the context of a neutrosophic topological space equipped with a neutrosophic ideal. Also, we introduce and study some new classes of neutrosophic sets defined in terms of the neutrosophic local function and the new notion of neutrosophic operator given. 2024 2024 186 195 10.54216/IJNS.240117 https://www.americaspg.com/articleinfo/21/show/2658