利用函数 a- x (a 1 )对灰色预测模型的原始离散数据列 {x( 0 ) (k) }进行变换 ,提高了离散数据列的光滑度 ,拓宽了灰色预测模型的应用范围 ,并从理论上证明了该方法比“对数函数”法及“幂函数”法更有效.

This paper proposes to improve the smooth of original discrete data series ${x\+\{(0)\}(k)}$ conducting alternation by means of $a\+\{-x\}(a1)$ function so as develop the application of grey forecasting model. Compare with logarithmic function method and power function method, the $a\+\{-x\}(a0)$ function method is better.