International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/2949 2020 2020 Department of Management Information systems, College of Administration and Economics, University of Mosul, Mosul, Iraq Zakariya Zakariya Department of Management Information systems, College of Administration and Economics, University of Mosul, Mosul, Iraq Nadwa Khazaal Rashad Department of Statistics and Informatics, University of Mosul, Mosul, Iraq Zakariya Yahya Algamal The Topp-Leone Extended Exponential distribution is used to simulate human lifetime data patterns in the field of survival analysis. To characterize a variety of uncertain survival data, the neutrosophic Topp-Leone extended exponential distribution (NTLEED) is used. The specified distribution is a great tool for modeling unknown data that is somewhat positively biased. This study covers the primary statistical properties of the constructed NTLEED, including the survival function, hazard rate, and neutrosophic moments. In addition, the neutrosophic parameters are estimated using the popular maximum likelihood estimation technique. To determine whether the predicted neutrosophic parameters were obtained, a simulation study is carried out. Not to mention that actual data has been used to discuss potential real-world applications of NTLEED. Real data were utilized to demonstrate how well the proposed model performed in contrast to the current distributions.   2025 2025 239 245 10.54216/IJNS.250122 https://www.americaspg.com/articleinfo/21/show/2949