逐步优化灰导数白化值的GM(1,1)直接建模法  

A Direct Modeling Method of GM(1,1) with a Step by Step Optimum Grey Derivative's Whitening Values

作　　者：王义闹[1] 李应川[2] 陈智洁[3] 

机构地区：[1]河北建筑科技学院基础部 [2]邯郸农业高等专科学校基础部 [3]武汉科技学院管理工程系

出　　处：《华中科技大学学报（自然科学版）》2001年第3期54-57,共4页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目!(6 98740 18;79970 0 2 5 )

摘　　要：在GM (1,1)直接建模法以差商作为灰导数白化值的基础上 ,提出了一种逐步优化灰导数白化值的方法 .结果表明 ,这一方法不仅保持了原方法的升 (降 )凹 (凸 )一致性、线性变换一致性 ,而且具有渐近白指数律重合性和线性收敛速度 .弥补了原方法不具有白指数律重合性的缺陷 ,突破了当发展系数的绝对值较大时GM(1,1)不能应用的禁区 。Based on the quotient of difference being the grey derivative's whitening values in the GM(1,1) direct modeling method, direct modeling method of GM(1,1) with a step by step optimum grey derivative's whiting values is put forward. The new method has monotone consistency, convex consistency, linear transformation consistency, gradually approaching white exponential law coincidence property and linear convergence rate. A defect that the old method has not the white exponential law coincidence property is remedied. The restricted zone of using GM(1,1) is broken while the absolute value of the development coefficient is a bigger number and improve the GM(1,1) model's precision.

关 键 词：灰色系统 系统建模 非齐次指数模型 灰导数白化值 逐步优化 灰信息 直接建模法 

分 类 号：N941.5[自然科学总论—系统科学] N945.12