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A Linear Goal Programming Model for Weight Calculation in Fuzzy AHP and Its Application in Product Development

机译：模糊层次分析法中权重计算的线性目标规划模型及其在产品开发中的应用

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摘要

The key issue of FAHP application is how to derive fuzzy weights from fuzzy pairwise comparison matrix. The most of applications, however, were founding avoiding the use of sophisticated approaches such as fuzzy least squares method and using a simple extent analysis method to derive fuzzy weight from pairwise comparison matrix for the sake of simplicity. But the extent analysis method proves to be incorrect and may lead to a wrong decision result. So, this paper proposes a sound yet simple linear goal programming model to derive weights from pairwise fuzzy comparison matrix, which takes minimizing inconsistence degree of comparison matrix as objective and obtain a normalized weight vector finally. The proposed model is validated by an application to new product development scheme screening decision making.
机译：FAHP应用的关键问题是如何从模糊成对比较矩阵中得出模糊权重。然而，发现大多数应用都避免使用复杂的方法，例如模糊最小二乘法，而为了简单起见，使用简单的程度分析方法从成对比较矩阵中得出模糊权重。但是程度分析方法被证明是不正确的，并可能导致错误的决策结果。因此，本文提出一种合理而简单的线性目标规划模型，从成对的模糊比较矩阵中导出权重，以最小化比较矩阵的不一致性为目标，最终得到归一化的权重向量。通过在新产品开发方案筛选决策中的应用验证了所提出的模型。

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