Abstract:

To study the properties of non-homogenous discrete grey model （NDGM）, the variation characteristics of several model parameters pertaining to affine transformation are analyzed thoroughly. The predictive results from the series of analyses demonstrate the retaining affine property between carefully manipulated primary sequence and its affine sequence-the replica of each sequence is added to the original sequence. In addition, the analyses verify the fact that the non-homogenous discrete grey model is competent and valid for perfect simulation on the non-homogenous sequence. The completely fitting expression of general exponential sequence and the optimized fitting expression of approximative exponential sequence are proposed by solving the non-homogenous discrete grey model. In this study, an algorithmic approach for the non-homogenous discrete grey model is also suggested and briefly discussed. China’s per-capita GDP from 1992 to 2008 is employed as an example to further explicate the algorithmic approach of the non-homogenous discrete grey model. As such, the approach is proven to be effective and feasible.