Abstract: The uncertainty of engineering practice requires that the satisfied solutions obtained by the optimization algorithm has sufficient anti-disturbance ability.In order to find the satisfied solutions with less disturbance, a robust index to indicate the performance of anti-disturbance is defined.The robust evaluation approaches for single-objective optimization and multi-objective optimization are described respectively, a robustness ranking comparison method based on equal scaling of robust space is proposed.A double objective optimization problem of environmental economic dispatching with six generators power system is used as an example to illustrate the application of the robust evaluation.The results show that the proposed robustness evaluation method can select the solution with the best robustness from many satisfactory solutions.