International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/2295 2020 2020 Department of Applied Mathematics, Ayandegan Institute of Higher Education, Tonekabon, Iran S. A. .. Department of Mathematics, College of Science and Arts, Al- Badaya 51951, Qassim University, Saudi Arabia; Department of Operations Research, Faculty of Graduate Studies for Statistical Research, Cairo University, Giza Hamiden Abd El- Wahed Khalifa Preparatory Year Deanship, King Faisal University, Hofuf, Al-Ahsa, 31982, Saudi Arabia Ashraf Al Al-Quran Department of Mathematics, Faculty of Education for Pure Sciences, University Of Anbar, Ramadi, Anbar, Iraq Faisal Al Al-Sharqi College of Computing, Informatics and Mathematics, UiTM Cawangan Negeri Sembilan, KampusSeremban, 70300 Negeri Sembilan, Malaysia Zahari Rodzi Department of Accounting, College of Business, King Faisal University, Al-Ahsa 31982, Saudi Arabia; MEU Research Unit, Middle East University, Amman, Jordan; Applied Science Research Center, Applied Science Private University, Amman 11931, Jordan Abdalwali Lutfi This article considers a stochastic multi-objective linear programming problem in a neutrosophic framework. The right-hand sides of the constraints are random variables associated with their means and variances, and the single-valued trapezoidal neutrosophic numbers are included in the coefficients of the objective functions to investigate the problem. The problem is successfully converted into the related deterministic programming model based on the formulation of the scoring function and several distributions, such as the Uniform, Exponential, and Gama distributions. Applying fuzzy goal programming, the deterministic problem is solved. An example is then solved to demonstrate the solution methodology. 2024 2024 312 322 10.54216/IJNS.230126 https://www.americaspg.com/articleinfo/21/show/2295