基于函数(e^x+1)~t变换的GM(1,1)模型及其在建模中的应用  

GM(1,1) model based on function(e^x+1)~t transformation and its application in modeling

作　　者：江安[1] 李文涛[1] 

机构地区：[1]陆军军官学院基础部,安徽合肥230031

出　　处：《安徽大学学报（自然科学版）》2013年第1期33-36,共4页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11272356)

摘　　要：提出了对原始建模数据进行函数(ex+1)t(t<0)变换,证明了这种变换可以有效地提高建模数据序列的光滑度和所建模型的精度,而且其模型精度优于对数变换所建模型,从而拓宽了灰色模型的应用范围.且用文中方法建立了我国人均发电量的数学模型,实例表明该方法的有效性.In the paper,the method of function（ex＋1）t（t0） transformation against modeling data was put forward.It has been proved that the smooth degree of discrete data after this transformation could be enhanced.Moreover,the GM（1,1） model precision based on the data transformation was better than the model precision based on logarithm function transformation.So the method could widen range of application of grey model.At last,the model of Chinese Electricity Generation was built by means of the method.The practical application showed the effectiveness of the proposed approach.

关 键 词：灰色模型 光滑度 数据序列 函数变换 

分 类 号：N941[自然科学总论—系统科学]