In order to express information on the quality grade of product designed, the target value of product quality design was described with a fuzzy number in this paper. An alternative to Taguchi′s, the robustness application design method has been recently presented. However, neither Taguchi′s method nor the alternative method is capable of dealing satisfactorily with the frequently encountered situations in which all the noise variables cannot be studied simultaneously. Based on the ideas from response surface modeling, linear models theory, and random effects models, we provide a method for estimation in the robustness application design method in product quality applications. With this new method used, the high quality ratio of the product designed could be increased, and the ability to resist the influence of various disturbing factors and noise factors could be enhanced.
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