CAJ | 학술논문

由于多目标优化算法得到的Pareto最优解集通常是离散分布的点,并非连续曲线(曲面),大多数情况下无法为决策者提供较多完全符合决策要求的Pareto解.根据多目标优化与决策的关系,定义了偏好模型以量度对优化目标的满意程度,并通过灵敏度分析提出了一种Pareto改进解的计算方法,旨在确定是否存在更符合偏好要求的改进解.结果证明,此方法能有效地对Pareto最优解集中的元素进行改进,提供给决策者更多符合偏好要求的候选解,辅助决策人员选择最终方案.
유우다목표우화산법득도적Pareto최우해집통상시리산분포적점,병비련속곡선(곡면),대다수정황하무법위결책자제공교다완전부합결책요구적Pareto해.근거다목표우화여결책적관계,정의료편호모형이량도대우화목표적만의정도,병통과령민도분석제출료일충Pareto개진해적계산방법,지재학정시부존재경부합편호요구적개진해.결과증명,차방법능유효지대Pareto최우해집중적원소진행개진,제공급결책자경다부합편호요구적후선해,보조결책인원선택최종방안.
Owing to Pareto solutions' discrete distribution,not a continuous curve/surface,derived from a multi-objective evolutionary algorithm,the decision-maker couldnot get Pareto solutions for totally meeting design requirements in most cases.According to the relationship between multi-objective optimization and decision-making machine,the preference requirement and preference function are proposed to measure the satisfaction level for objective values.And a method of Pareto improved solutions based on sensitivity analysis is used to ascertain whether there exist some more solutions which might even more meet preference requirements.Simulation results show that Pareto solutions from the candidate set are improved effectively while assisting in providing more Pareto solutions for meeting preference requirements to be the final scheme.