aspg-21-879-1791472161 20261008150921 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2021 16 1 Maissam Jdid Faculty of Informatics Engineering, Al-Sham Private University, Damascus, Syria Rafif Alhabib Department of Mathematical Statistics, Faculty of Science, Albaath University, Homs, Syria A. A. Salama Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said, Egypt In this paper, we present an expansion of one of the well-known classical inventory management models, which is the static model of inventory management without a deficit and for a single substance, based on the neutrosophic logic, where we provide through this study a basis for dealing with all data, whether specific or undefined in the field of inventory management, as it provides safe environment to manage inventory without running into deficit , and give us an approximate ideal volume of inventory. Since the ideal size is affected by the rate of demand for inventory, we present in this paper a study of the rate of demand for inventory when it is not precisely defined, and we find that the indeterminate values ​​of the demand rate cannot be ignored, because they actually affect determining the ideal size of inventory and calculating its costs, thus affecting on the efficiency of the facility and achieve great profits for it. 2021 42 48 879 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.160104 https://www.americaspg.com/journal/21/article/879 https://www.americaspg.com/storage/332.pdf