aspg-21-1928-1791472342 20261008151222 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2023 21 3 Alan Adham Bibani Department of Statistics and Informatics, University of Mosul, Mosul, Iraq Zakariya Yahya Algamal Department of Statistics and Informatics, University of Mosul, Mosul, Iraq A relatively recent area of research known as neutrosophic statistics deals with data that are ambiguous, indeterminate, and inconsistent. By embracing the idea of neutrosophy, which denotes the existence of three components in a statement: truth, falsity, and indeterminacy, it broadens the application of classical statistics. One of the significant offshoots of statistics is life-time data analysis. Traditional statistical methods only account for variation within the data and calculate lifetime observations as accurate numbers. Actually, there are two different kinds of uncertainty in data: fluctuation between observations and fuzziness. As a result, analysis techniques that solely employ precise lifetime data and ignore fuzziness use incomplete information and produce false results. This paper sought to generalize hazard rates, survival functions, and parameter estimates for fuzzy Gompertz Distribution. Simulation studies are implemented to examine the performance of the fuzzy Gompertz Distribution. The results show that the fuzzy Gompertz Distribution has better flexibility in handling over the standard Gompertz Distribution. 2023 137 142 1928 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.210313 https://www.americaspg.com/journal/21/article/1928 https://www.americaspg.com/storage/61688728297.pdf