摘要
基于数乘变换是灰色系统建模过程中数据处理的基础,讨论了GM(n,h)模型与其他几类灰色模型的内在联系.将各类灰色模型统一于共同的分析体系,并在此基础上研究了数乘变换对GM(n,h)模型参数取值的影响.指出了模型的模拟和预测值只与因变量的数乘变换有关,而与自变量的变换无关.最后分析了几个特殊灰色模型的数乘变换性质,该结果对研究系列灰色模型参数特征有重要意义.
Multiple transformation is the basis of data processing to construct a grey model. Connections between the GM（n,h） model and other grey models are discussed. Then several grey models are nuified into a common analysis system. Based on this conclusion, the affections caused by multiple transformation to GM（n,h） model is researched. The values of simulative and predicative are only dependent on the multiple transformation to the main variable and independent to other variables. Finally, the multiple transformation properties of several grey models are analyzed. The results are benefit to research parameters properties of grey models.
出处
《控制与决策》
EI
CSCD
北大核心
2009年第9期1294-1299,共6页
Control and Decision
基金
国家自然科学基金项目(70701017)
南京航空航天大学哲学社科基金项目(V0865-091)
关键词
GM(n
h)模型
数乘变换
最小二乘法
累加生成
GM（n,h） model
Multiple transformation
Least square methods
Accumulating generator operator
