GM(1,1)灰色模型改进及其应用

Improvement and Application of GM(1,1) Grey Model

就GM(1,1)模型定解条件的选取问题做了一定的探讨。GM(1,1)模型传统算法认为最小二乘拟合曲线通过第一点,该方法存在一定的不足之处。提出使拟合曲线通过最新点的方法进行预测的改进方法,并且用MATLAB编程语言实现了改进灰色模型的预测程序。将提出的改进方法应用到变形预测中,并且将预测结果与传统模型得到的预测结果进行比较,结果表明提出的改进模型具有较好的实用性和参考价值。

The choice of finite solution requisition of GM（ 1,1 ） model is discussed. Traditional algorithm of GM（ 1,1 ） model considers that least square fitting curve gets across the first point, which has some defects. The improved GM（ 1,1 ） model that fitting curve gets across the newest point is proposed in this paper. The prediction program of the improved grey model is realized using MATLAB language. This method is used to deformation prediction, and the prediction results are compared with traditional method. The results have proved that the improvement of this paper has certain practicality and reference value.