Volume 26 , Issue 4 , PP: 219-225, 2025 | Cite this article as | XML | Html | PDF | Full Length Article
Kawther F. Alhasan 1
Doi: https://doi.org/10.54216/IJNS.260420
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.
Decision theory , Neutrosophic Bayesian approach , Neutrosophic prior distribution , , Neutrosophic posterior distribution , Midrange measure , , Selection , procedure
[1] K. F. Alhasan, K. Fawzi, and F. Smarandache, "Neutrosophic Weibull distribution and Neutrosophic Family Weibull Distribution," Neutrosophic Sets Syst., vol. 28, pp. 191–199, 2019.
[2] K. F. Alhasan and F. Smarandache, "Neutrosophic Weibull distribution and Neutrosophic Family Weibull Distribution," Neutrosophic Sets Syst., vol. 28, pp. 191–199, 2019.
[3] K. F. Alhasan, A. A. Salama, and F. Smarandache, "Introduction to Neutrosophic Reliability Theory," Int. J. Neutrosophic Sci., vol. 15, no. 1, pp. 52–61, 2021.
[4] N. A. Nabeeh, M. Abdel-Basset, H. A. El-Ghareeb, and A. Aboelfetouh, "Neutrosophic Multi-Criteria Decision Making Approach for IoT-Based Enterprises," IEEE Access, vol. 7, pp. 59 595–59 610, 2019.
[5] F. Smarandache, "Neutrosophic Measure and Neutrosophic Integral," Neutrosophic Sets Syst., vol. 1, pp. 3–7, 2013.
[6] F. Smarandache, "Neutrosophy and Neutrosophic Logic, First International Conference on Neutrosophy, Neutrosophic Logic, Set, Probability, and Statistics," University of New Mexico, Gallup, NM, USA, 2002.
[7] F. Smarandache, A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability, 3rd ed. Rehoboth, NM, USA: American Research Press, 2003.
[8] F. Smarandache, "Neutrosophic Set a Generalization of the Intuitionistic Fuzzy Sets," Int. J. Pure Appl. Math., vol. 24, no. 3, pp. 287–297, 2005.
[9] F. Smarandache, Neutrosophical Statistics. Columbus, OH, USA: Sitech & Education Publishing, 2014.
[10] K. F. Al-Hassan, "Bayesian Procedures for Multinomial Selection Problem," M.S. thesis, Dept. Math., Univ. Mustansiriyah, Baghdad, Iraq, 2006.
[11] K. F. Al-Hassan, "A new approach: Bayesian selection to find median cell in multinomial population," J. Karbala Univ., vol. 8, no. 4, 2010.
[12] K. F. Al-Hassan, "Bayes risk for selection the median category from even sample size in K-nomial distribution," in Proc. Int. Conf. Educ. Math., Sci. Technol., 2014, pp. 1205–1214.
[13] S. Broumi, M. Talea, A. Bakkali, and F. Smarandache, "Single Valued Neutrosophic Graph," J. New Theory, no. 10, pp. 86–101, 2016.
[14] S. Broumi, M. Talea, A. Bakkali, and F. Smarandache, "Single valued neutrosophic graphs," J. New Theory, no. 10, pp. 86–101, 2016.
[15] K. Fawzi, "Study Some Methods To Measure The Reliability System Neutrosophically," Int. J. Neutrosophic Sci., vol. 24, no. 2, pp. 68–79, 2024, doi: https://doi.org/10.54216/IJNS.240207 .
[16] K. Fawzi, "On Neutrosophic Truncation," Int. J. Neutrosophic Sci., vol. 24, no. 4, pp. 193–204, 2024, doi: https://doi.org/10.54216/IJNS.240414.
