数乘变换下GM(0,N)模型中的参数特征

Parameter Characteristics of GM(0,N)Model Under Multiple Transformation

在灰色系统理论中 ,生成是一个重要的概念和方法 ,而数乘变换则是灰色建模的基础。讨论了原始数据的数乘变换对GM( 0 ,N )模型的影响问题 ,指出了系统的预测值只与系统主行为原始数据的数乘变换方式有关 ,而与系统行为因子的数乘变换无关。该结果对评价系统的参数变化有重要意义。

Generation is the essential concept and approad, and multiple transformation is the basis of grey modeling. This paper discusses the influence of multiple transformation to original discrete data and parameters in GM(0,N) model. The results show that the predictions of system are only dependent on multiple transformation to the main behavior series, but independent on that to the factor series. We can see this result is of benefit to assessing the influence of data changing due to varying the units.\;