Owing to the cost constraint, it is difficult to incorporate all critical features into a single product design. To deal with this issue, analytic hierarchy process is a well-known method that compares the relative priorities of critical features. This study aims to illustrate that the judgment of a designer can be used to generate multiple diversified product designs. To this end, this study proposed a multibelief analytic hierarchy process and nonlinear programming approach. In the proposed methodology, a decision maker’s judgment matrix is decomposed into several single-belief judgment matrices that are more consistent than the original judgment matrix and represent diversified points of view regarding the relative priorities of factors. To this end, a nonlinear programming model is established and optimized. The proposed methodology was applied to a smart backpack design problem. It was concluded that a designer’s judgment was often inconsistent, which was ignored in the conventional analytic hierarchy process method but could be employed to diversify product designs.

中文翻译：

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多样化产品设计的多信念层次分析法和非线性规划方法：以智能背包设计为例

由于成本限制，很难将所有关键功能整合到单个产品设计中。为了解决这个问题，层次分析法是一种众所周知的方法，它比较关键特征的相对优先级。本研究旨在说明设计师的判断力可用于产生多种多样化的产品设计。为此，本研究提出了多置信度层次分析法和非线性规划方法。在所提出的方法中，决策者的判断矩阵被分解为几个比原始判断矩阵更一致的单一信念判断矩阵，并代表了关于因素相对优先级的多样化观点。为此，建立并优化了非线性规划模型。所提出的方法应用于智能背包设计问题。得出的结论是，设计师的判断往往不一致，这在传统的层次分析法中被忽略，但可以用于产品设计的多样化。