International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/2535 2020 2020 Department of Economy, Faculty of Management and Economy, University of Kufa, Iraq Hanaa Hanaa Department of Economy, Faculty of Management and Economy, University of Kufa, Iraq S. .. Department of Mathematics, Faculty of Education, University of Kufa, Iraq A. AL AL-Adilee 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 2024 229 236 10.54216/IJNS.230327 https://www.americaspg.com/articleinfo/21/show/2535