International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/985 2020 2020 Faculty of Informatics Engineering, Al-Sham Private University, Damascus, Syria Maissam Jdid Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said, Egypt A. A. Salama Department of Mathematical Statistics, Faculty of Science, AL Baath University, Homs, Syria Rafif Alhabib Administrative Assistant for the President of Telafer University, Telafer, Iraq Huda E. Khalid Business Supervisor- Department of Mathematical, Faculty of Science, Damascus, Syria Fatima Al Suleiman In this article, when the inability to manage inventory is allowed in exchange for certain fines, managers can then allow the remaining stock to run out and accumulation the order until compensation is reinstated.  The idea depends on the amount of stock deficit, which could be small in comparison to the storage cost. This refers to inventory models with deficits and is used to store damageable material. To manage these models, deficit costs should pair with storage costs by applying a mathematical model that illustrates the state in which deficit occurs by satisfying a requirement for one item. All that follows the principles of static modelling with a deficit and the ideal solution would be the most appropriate. We know that the ideal amount depends on the inventory demands. In the classical logic, we define the required storage amounts by the inventory cycle which has a constant value during the inventory cycle; however, that logic overlooks the fluctuation of inventory demands. Therefore, this manuscript conducts a study about static inventory models with a deficit for one material based on neutrosophic logic, which takes into consideration the indeterminate states and hence it provides more precise results, thus, it gives institutions a stable work environment with the least costs. 2022 2022 20 29 10.54216/IJNS.180103 https://www.americaspg.com/articleinfo/21/show/985