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从理论上分析了GM(1,1)模型中的背景值,提出组合插值的思想,利用分段线性插值函数与Newton插值公式结合的方法构造一类新的灰色预测模型CIGM(1,1),改进背景值的构造方法,克服现有的灰色改进模型的不足,为提高预测精度提供了新的途径。最后以2008年江苏省工业用电量数据为例,用本文提出的方法进行预测仿真,理论分析和应用实例表明了本文所提方法的有效性。,In this paper, we analyze the background value calculation in GM(1,1) model, put forward the idea of combination interpolation and construct a new class of gray prediction model which used piecewise linear interpolation function and Newton interpolation method. This model could overcome the lack of existed improved gray model and give a new way to improve the prediction accuracy. The simulation example using the improvement method is presented to demonstrate the effectiveness of our approach.