International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/3967 2020 2020 Department of Mathematics, College of Education for Pure Science, Al-Muthanna University, Iraq Hajem Hajem Department of Environmental Health Science, College of Energy and Environmental Science, Al-Karkh University of Science, Iraq Husam Jasim Mohammed Facility location problems assigned for determining the location of different types of facilities as factories, warehouses, hospitals,…, etc. It also helps to find the quantity of products and goods delivered to customers from the assigned facilities. As in other fields, uncertainty occurs in facility location problems, when the cost, time and other information seem in deterministic and unknown. The uncertainty in facility location problems promoted scientists to apply robust optimization such as stochastic techniques for solving complex locations problems. However, in stochastic problems some uncertain parameters need highly approaches such as neutrosophic sets, which is an extension of fuzzy sets to tackle the stochastic parameters. In this paper, a neutrosophic approaches based on neutrosophic sets applied for solving capacitated and uncapacitated stochastic facility location problems. The normal and neutrosophic models designed and some applications illustrated for testing the neutrosophic stochastic facility location problems in two cases capacitated and uncapacitated facilities. The result various for the two different situations and shows that decision maker therefore offers flexibility of various solutions when applying the neutrosophic case under different situations. 2026 2026 139 146 10.54216/IJNS.270113 https://www.americaspg.com/articleinfo/21/show/3967