GM(1,1) 灰色模型改进及其应用
首发时间:2007-09-28
摘要:本文就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。本文提出使拟合曲线通过最新点的方法进行预测的改进,并且用MATLAB语言编写了改进灰色模型的预测程序。将本文提出的方法应用到变形预测中,并且将预测结果与传统方法所得到的预测结果进行比较,结果证明本文提出的改进具有较好的实用和参考价值。
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Improvement and Application of GM(1,1) Grey Model
Abstract:This paper has discussed the choice of finite solution requisition of GM(1,1) model. Traditional algorithm of GM(1,1) model considers that least square fitting curve gets across the first point, which has some defects. This paper has put forward the improvement that fitting curve gets across the newest point, and realized the prediction program of the improved grey model with MATLAB language. Apply this method to deformation prediction, and compare the prediction results with traditional method. The results have proved that the improvement of this paper has good practicality and reference value.
Keywords: Grey Model, Finite Solution Requisition, MATLAB, Deformation Prediction
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No.1540912605211909****
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