基于函数变换的优化灰色预测模型及其应用  

Optimization Grey Forecasting Model Based on Function Transformation and Its Application

作　　者：张军[1] 王秋萍[1] 刘素兵[1] 

机构地区：[1]西安理工大学理学院,陕西西安710054

出　　处：《青岛科技大学学报（自然科学版）》2008年第2期182-184,188,共4页Journal of Qingdao University of Science and Technology:Natural Science Edition

摘　　要：基于函数变换理论,提出了对建模数据进行ax+b(a<0,ax+b>0)变换,理论上证明了这种变换可以有效提高建模数据序列的光滑度。并把此方法应用于我国市均医院床位数的建模中,应用结果表明,该方法所建GM(1,1)模型的精度优于传统GM(1,1)模型的精度,从而拓宽了灰色模型的应用范围。Based on function transformation theory, the method of ax＋b（a〈0,ax＋b） 0） transformation against modeling data is put forward. It has been proved that the smooth degree of modeling data sequence after this transformation can be enhanced. And the method is applied in the model of the number of Chinese per city hospital＇s beds. The practical application shows that precision of the GM（1,1） model based on the data transformation is better than precision of the traditional GM（1,1） model. This method can widen range of applieation of grey model.

关 键 词：GM(1 1)模型 光滑度 函数变换 精度 

分 类 号：N941.5[自然科学总论—系统科学]