Abstract: For Multi-objective Optimization Problems (MOP), it is very important to provide proper and feasible solutions rapidly for the decision makers. A method for MOP was given. First, a concept of Pareto-ε dominance was defined. Then, based on this concept, a new adaptive multi-objective evolutionary algorithm was proposed. The simulation results demonstrate that the new algorithm can improve the process of MOP optimization, and can meet the requirements of high-speed and effectiveness in application.

Key words: multi-objective optimization, Pareto dominance, Pareto front, evolutionary algorithm, adaptive

摘要： 在多目标优化领域，如何快速地为决策者提供合理、可行的解决方案尤为重要,为此，给出了多目标优化问题的一种新解法。定义了一种Pareto-ε优胜关系的概念，将此概念引入多目标优化问题中，设计了一种新的基于ε-优胜的自适应快速多目标演化算法。计算机仿真表明，该算法可以明显改善求解多目标优化问题时的寻优过程，能适应实际应用环境下快速、有效的决策要求。

关键词: 多目标优化, Pareto优胜, Pareto前沿, 演化算法, 自适应