Intended for getting good estimates with more accurate results, we must choose the appropriate method of estimation. Most of the equations in classical methods are linear equations and finding analytical solutions to such equations is very difficult. Some estimators are inefficient because of problems in solving these equations. In this paper, we will estimate the survival function of censored data by using one of the most important artificial intelligence algorithms that is called the genetic algorithm to get optimal estimates for parameters Weibull distribution with two parameters. This leads to optimal estimates of the survival function. The genetic algorithm is employed in the method of moment, the least squares method and the weighted least squares method and getting on more efficient estimators than classical methods. Then, a comparison will be made between the methods depending on the experimental side. The best method is evaluated based on mean square error of the survival function and the methods will be applied to real data for patients with lung and bronchia cancer
