aspg-21-4028-1791468680 20261008141120 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2025 26 4 Kawther F. Alhasan Department of Mathematics, College of Education for Pure Science, University of Babylon, Iraq Many of the problems that we face in our lives and daily work are how to directly and accurately select candidates or categories from multiple sets of candidates (categories). The ranking and selection approach is a modern and direct method for selecting categories easily, which is associated with a probability of correct selection. In this paper, we employ the neutrosophic Bayes procedure for decision to select multinomial population. Select a mid-range category for multiple categories and employ neutrosophic logic to define a modern Bayesian procedure that incorporates parameters with some indeterminacy and has a prior distribution, which we call the neutrosophic prior distribution. 2025 219 225 4028 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.260420 https://www.americaspg.com/journal/21/article/4028 https://www.americaspg.com/storage/81756400342.pdf