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In this paper,the diversity information included by dominating number is analyzed,and the probabilistic relationship between dominating number and diversity in the space of objective function is proved.A ranking method based on dominating number is proposed to build the Pareto front.Without increasing basic Pareto method’s computation complexity and introducing new parameters,a new multiobjective genetic algorithm based on proposed ranking method(MOGA-DN)is presented.Simulation results on function optimization and parameters optimization of control system verify the efficiency of MOGA-DN.