aspg-21-3243-1791475438 20261008160358 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2025 25 3 Ghassan A. Qahtan Department of Mathematics, College of Education for Pure Science, University of Kerbala, Iraq L. A. A. Jabar Department of Mathematics, College of Education for Pure Science, University of Babylon, Iraq Ihsan M. Rasheed Department of Mathematics, College of Education for Pure Science, University of Kerbala, Iraq Reyadh D. Ali Department of Mathematics, College of Education for Pure Science, University of Kerbala, Iraq The research started from Salama's generalization to both ideal and local function through NCSs. We presented some results and properties to reinforce the concept of the generalized local function, which though its properties was used to deduce the properties of the 𝜓Ν𝐶- operator that we generalized through NCSS. 2025 70 75 3243 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.250307 https://www.americaspg.com/journal/21/article/3243 https://www.americaspg.com/storage/41737028721.pdf