International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/3243 2020 2020 Department of Mathematics, College of Education for Pure Science, University of Kerbala, Iraq Ghassan Ghassan Department of Mathematics, College of Education for Pure Science, University of Babylon, Iraq L. A. A. Jabar Department of Mathematics, College of Education for Pure Science, University of Kerbala, Iraq Ihsan M. Rasheed Department of Mathematics, College of Education for Pure Science, University of Kerbala, Iraq Reyadh D. Ali 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 2025 70 75 10.54216/IJNS.250307 https://www.americaspg.com/articleinfo/21/show/3243