aspg-21-2535-1791472397 20261008151317 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2024 23 3 Hanaa Saad M. Shibeeb Department of Economy, Faculty of Management and Economy, University of Kufa, Iraq S. Altalaqani Department of Economy, Faculty of Management and Economy, University of Kufa, Iraq A. AL-Adilee Department of Mathematics, Faculty of Education, University of Kufa, Iraq In this paper, we propose a new version of the Gumbel Distribution using a sine technique family. We discuss the key properties of this distribution, such as the probability density function, the cumulative distribution function, the survival function, the hazard function, the cumulative hazard, and the moments. Additionally, we present a method for estimating the distribution's parameters. We then analyze a dataset using the original and generalized distributions, comparing the results and using goodness-of-fit measures to determine which distribution best fits the data. Finally, we provide conclusions based on our findings, with many examples and valid comparisons applied on fuzzy data. 2024 229 236 2535 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.230327 https://www.americaspg.com/journal/21/article/2535 https://www.americaspg.com/storage/31709225997.pdf