International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/1515 2020 2020 Department of Business Administration, College of Sciences and the Human Sciences in Alaflaj Prince Sattam Bin Abdulaziz University, Saudi Arabia A. M. Mohamed Ibrahim Department of Mathematics, Hazara University Mansehra, Pakistan Zahid Khan Mathematics Department, College of Humanities and Science in Al Aflaj, Prince Sattam Bin Abdulaziz University, Al-Kharj, Saudi Arabia; Business Administration Department, Administrative Science College, Thamar University, Thamar, Yemen Fuad S. Al Al-Duais The logistic distribution is widely used to model various types of applied data. The modified logistic distribution under neutrosophic statistics is introduced in this work. The neutrosophic logistic distribution (NLD) and its engineering applications are mainly emphasized. An appealing characteristic of the suggested NLD is that it is useful to many widely utilized survival assessment metrics, including the reliability function, hazard function, and survival function. Applications of some mathematical and statistical properties of the suggested model are discussed. Numerical investigations on simulated data are used to validate the theoretical findings experimentally. From an application point of view, it is inferred that the proposed distribution fits data with imprecise, hazy, and fuzzy information better than the usual model. In addition, the maximum likelihood (ML) technique for the proposed model is discussed under the neutrosophic inference framework. Eventually, some illustrative examples related to system reliability are provided to clarify further the implementation of the neutrosophic probabilistic model in real-world problems. 2023 2023 27 39 10.54216/IJNS.200203 https://www.americaspg.com/articleinfo/21/show/1515