基于灰色关联与改进FAHP的产品优选模型

研究电脑与数码产品的科学选购问题。为了对评价指标进行定量分析，应用灰色关联分析与模糊层次分析法构造了一种产品优选模型。首先确立待选产品的评价指标特征量矩阵，计算各项指标与理想产品对应指标之间的关联系数；然后构建一个评价指标重要性两两比较矩阵，运用改进的模糊层次分析法确定各指标的权重；最后由关联系数与指标权重计算待选产品与理想产品之间的关联度，以此确定最优产品。实例结果表明，该模型较好地达到了预期目标，在批量采购电脑与数码产品时尤具实用价值。

Product optimization model based on grey relation analysis and improved FAHP

This paper introduces question of computers and digital products to choose and buy. tt uses grey relation analysis method and fuzzy analytic hierarchy process to construct a model of the product optimization for a quantitative analysis for evaluation indexes. First it establishes characteristic matrix of products evaluation index and calculates the corresponding index of correlation coefficient between the elements and the ideal products. Then it sets up a pair-wise comparison matrices to evaluation index＇ s importance. It uses the improved fuzzy analytic hierarchy process to determine the weight of each index. Finally it calculates the correlation degree of alternative products and ideal products by correlation coefficient and index weight to determine the optimal product. The examples show that the model achieves the expected goal, and has a practical value especially when batch purchasing computers and digital products.