【摘要】 针对灰色系统理论中灰色预测模型预测方面,传统模型仅限于对近似齐次指数规律序列进行建模的不足,对原始序列为近似非齐次指数规律的情形,得到一类灰色NGM(1,1,K)模型,通过对NGM(1,1,K)模型中的白化方程进行优化的方法,同时利用灰色系统的新信息原理优化时间响应函数,建立了一种改进的灰色NGM(1,1,K)预测模型.实例结果表明,该改进模型具有较高的预测和拟合精度,推广了灰色预测模型的适用范围.更多还原

【Abstract】 In the prediction model of grey systems, the tradition model has some defects, which is based on the homogeneous dispersion index function. In order to solve the non-homogeneous dispersion index function, this paper optimized the whitenization equation in a kind of NGM(1,1,K) model by using the new information principle of the grey system. The time response sequence has also been optimized, and the improved grey NGM(1,1,K) model was proposed. The application example shows that the improved grey model is higher in accuracy and practicality, and the application of grey model can be extended.更多还原