aspg-21-3318-1791472213 20261008151013 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2025 25 3 Ayser Nasir Tahat Department of Mathematics, Faculty of Science, Jerash University, Jerash, Jordan Jafar Husni Ahmed Department of Mathematics, Faculty of Science, Jerash University, Jerash, Jordan Ayman Hazaymeh Department of Mathematics, Faculty of Science, Jadara University, Irbid, Jordan In this study, a rational cubic Ball function has been used to preserve the shape of monotonic and convex data. Conditions for shape preservation were drawn from the data and imposed on the free parameters of the interpolant function in such a way as to preserve the shape of the data. The interpolant is C1, which is continuous and visually pleasant function. The outputs of a number of numerical examples are presented. 2025 489 500 3318 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.250340 https://www.americaspg.com/journal/21/article/3318 https://www.americaspg.com/storage/71737050514.pdf