Abstract

In the application of mixture experiments, it’s hard to model the outputs with the form of persons’ description words mathematically. This paper models the outputs by fuzzy numbers and proposes a mixture model for such kind responses. The parameters of the proposed model are estimated by iterative least square method, and the goodness of fit of the model is evaluated by the average closeness degree. Finally, the procedure is illustrated by an example.

中文翻译：

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不确定响应混料设计模型及其应用

摘要

在混合实验的应用中，很难用人的描述词的形式对输出进行数学建模。本文通过模糊数对输出进行建模，并提出了此类响应的混合模型。采用迭代最小二乘法估计模型的参数，并通过平均贴近度评价模型的拟合优度。最后通过一个例子说明了该过程。