To solve multiple response optimization problems that often involve incommensurate and conflicting responses, a robust interactive desirability function approach is proposed in this article. The proposed approach consists of a parameter initialization phase and calculation and decision-making phases. It considers a decision maker's preference information regarding tradeoffs among responses and the uncertainties associated with predicted response surface models. The proposed method is the first to consider model uncertainty using an interactive desirability function approach. It allows a decision maker to adjust any of the preference parameters, including the shape, bound, and target of a modified robust function with consideration of model uncertainty in a single and integrated framework. This property of the proposed method is illustrated using a tire tread compound problem, and the robustness of the adjustments for the approach is also considered. The new method is shown to be highly effective in generating a compromise solution that is faithful to the decision maker's preference structure and robust to uncertainties associated with model predictions.

中文翻译：

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考虑模型不确定性的多响应优化鲁棒交互式期望函数方法

为了解决经常涉及不相称和冲突的响应的多个响应优化问题，本文提出了一种健壮的交互式合意函数方法。所提出的方法包括参数初始化阶段以及计算和决策阶段。它考虑了决策者关于响应之间的权衡以及与预测响应面模型相关的不确定性的偏好信息。所提出的方法是第一个使用交互式期望函数方法考虑模型不确定性的方法。它使决策者可以在单个集成框架中考虑模型不确定性来调整任何首选项参数，包括修改后的鲁棒函数的形状，边界和目标。使用轮胎胎面胶料问题说明了所提出方法的这一特性，并且还考虑了该方法的调整的鲁棒性。新方法在生成折衷解决方案方面非常有效，该解决方案忠实于决策者的偏好结构，并且对与模型预测相关的不确定性具有鲁棒性。