International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/2631 2020 2020 Department of Mathematics, College of Education for Pure Science, University of Babylon, Hillah, Iraq Tuqa Tuqa Department of Mathematics, College of Education for Pure Science, University of Babylon, Hillah, Iraq Luay A. A. Al .. Department of Mathematics, College of Education for Pure Science, University of Babylon, Hillah, Iraq Ali H. M. Al Al-Obaidi Fuzzy sets and their various generalizations, especially neutrosophic and multineutrosophic sets, have had an essential imprint in other scientific, engineering, and applied fields. This came from the characteristics of membership functions that determine the extent to which members belong to their sets, which is an important criterion. Hence, the idea of building the optimal membership function for fuzzy set using the arithmetic mean, we called this set by partner sets of a neutrosophic set of -type. 2024 2024 08 13 10.54216/IJNS.240101 https://www.americaspg.com/articleinfo/21/show/2631