aspg-21-2637-1791475987 20261008161307 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2024 24 1 Inam Abdul Rahman Noaman Department of Statistics, College of Administration and Economics‎, University of Diyala, 32001, Ba’aqubah, Diyala, Iraq. Arshad Hameed Hasan Department of Statistics, College of Administration and Economics‎, University of Diyala, ‎‎32001, Ba’aqubah, Diyala, Iraq Shaymaa Mohammed Ahmed Baquba Technical Institute, Middle Technical University, Diyala, Iraq The Weibull distribution is considered one of the important distributions used in reliability and in the distribution of survival times and in neutrosophic prediction. This paper contained an estimate of a two-parameter Weibull distribution using three estimation methods. One of these methods for estimating parameters is the traditional method, which represents the estimation of the greatest possibility, and the other two methods are estimation using the sine algorithm. and cosine (SCA) and the Ant Colony Algorithm (ACO). The simulation method was used to compare the methods, and it was found that the best method for estimating the parameters of the Weibull distribution is the sine and cosine algorithm (SCA) method. Then, real data was used, represented by the intensity of the earthquake in Japan (Richter) for the period July 1, 2023, to July 16, 2023, to estimate the rate of earthquake intensity in Japan, since Japan is one of the countries most exposed to earthquakes, and it was shown from The results are that the average magnitude of the earthquake in Japan in the period studied is 3.328593, which can be said. Weak buildings may be greatly damaged, but strong buildings are not greatly damaged. Also, a neutrosophic simulation of the same set of data will be suggested for future applications. 2024 65 73 2637 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.240106 https://www.americaspg.com/journal/21/article/2637 https://www.americaspg.com/storage/41712074861.pdf