改进多点灰色模型的研究及应用分析

针对传统多点灰色模型背景值求解方面存在的缺陷，采用自动寻优定权对背景值进行选择，使得实测值与拟合值的残差平方和最小，以提高多点灰色模型的预测精度。实例计算结果表明，与传统的多点灰色模型相比，背景值改进的多点灰色模型预测精度有很大的提高。

Research and Application of Improved Multi-Point Grey Model

In order to improve predictive accuracy ofthe multi-point grey model, background values are selected by automatic optimization weights such that the residual sum of squares of the actual and fitted values is minimal. Caseresults show that, compared with traditional multi-point grey model, prediction accuracy is greatly improved with the background values optimized grey model.