交互式模糊稳健优化设计及其应用

Interactive fuzzy robust optimization design and its application

产品质量与设计变量容差间的冲突性和模糊关联性往往导致稳健优化结果与设计者意图有所偏差.针对这类问题,在考虑工程稳健设计中存在主、客观不确定因素的前提下,利用区间加权系数构造模糊稳健优化设计的容差模型,采用物理规划表达设计者的局部偏好,控制区间权值产生候选Pareto解集,利用折中规划建立Pareto解到评分值的映射,并据此改进设计偏好,从而实现稳健优化过程的交互式决策.实例证明,所提方法获得了兼顾主、客观设计要求不确定性的最满意解.

The conflictive and fuzzy coupling relationships between product quality and tolerances of design variables always bring out the deviation between optimization results and design intention to a certain extent.Considering the fuzzy subjective and objective factors,which exist in engineering robust design problem,a fuzzy robust optimization model based on tolerance objectives is established using interval weighted coefficient method.Physical programming is used to describe the designers＇ progressive preference.A Pareto design set is obtained by controlling the interval weighted coefficients.A map from Pareto designs to their corresponding evaluation value is established using compromise programming.An interactive decision-making is carried out through improving the progressive preference by the tradeoff of the conflictive degree between objectives.The given numerical example illustrates that the proposed method can get the optimal solution which satisfies the subjective and objective uncertainties of robust design requirements.