基于指数三角函数的灰色预测模型研究与应用

The Research and Application of Grey Forecasting Model Base on Eponential & Triangle Function

基于函数变换理论,提出了对建模数据进行acos(x)(a>1)变换,理论上证明了这种变换可以有效地提高建模数据序列的光滑度.拓广了灰色模型的应用范围,实例验证了所建GM(1,1)模型精度优于"对数幂函数"法所建模型,说明了该方法的有效性.

Based on function transformation theory, he method of a^cos（x）（a〉1）transformation against modeling data is putted lbrward. It has been proved that the smooth degree of modeling sequence after this transformation can be enhanced. Which turns out to be more effective than the method of logarithm ＆ power function. So the method can widen the range of application of grey modeling. Example verification indicates the practical result shows the effectiveness the proposed approach.