International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/2751 2020 2020 Department of Mathematics, Faculty of Education and Sciences, University of Sucre, Sincelejo, Colombia Jos Jos´e Department of Natural and Exact Sciences, Universidad de la Costa, Barranquilla, Colombia Ennis Rosas Department of Mathematics, Faculty of Natural Sciences and Mathematics, Escuela Superior Polit´ecnica del Litoral (ESPOL), Campus Gustavo Galindo km. 30.5 V´ıa Perimetral, Guayaquil, Ecuador Elvis Aponte In this paper an idea of neutrosophic convex structures (briefly, NC-structures) is given and some of their properties are explored. Also, NC-sets, neutrosophic concave sets and neutrosophic convex hull are defined and their properties are investigated. Moreover, the notions of NC-derived operator and NC-base are studied and their relationship to NC-structures are established. 2024 2024 163 175 10.54216/IJNS.240214 https://www.americaspg.com/articleinfo/21/show/2751