优化灰导数白化值的GM(1,1)建模法  

GM(1,1) Modeling Method of Optimum the Whiting Values of Grey Derivative

作　　者：王义闹[1] 刘开第[1] 李应川[2] 

机构地区：[1]河北建筑科技学院基础部,河北邯郸056038 [2]邯郸农业高等专科学校,河北邯郸057150

出　　处：《系统工程理论与实践》2001年第5期124-128,共5页Systems Engineering-Theory & Practice

基　　金：国家自然科学基金!( 696750 0 3;79770 0 2 5)

摘　　要：提出了以向前差商和向后差商的优化加权平均值作为灰导数白化值建立 GM( 1 ,1 )的方法 ,证明了该建模法具有线性变换一致性 .In this paper, we put forward a GM(1,1) modeling method by taking the optimum weighted averages of ahead difference quotient and back difference quotient as the grey derivative whiting values, prove that the new method have the linear transformation consistency, and show, by a practical example, that the new method have higher precision.

关 键 词：灰色系统 系统建模 指数模型 优化 GM(1 1)模型 导数白化值 

分 类 号：N941.5[自然科学总论—系统科学]