摘要
构建了多变量离散灰色模型,并将该模型与传统GM(n,h)模型对比研究,通过系数变换,该模型可以和GM(n,h)模型相互等价,从而架构了离散灰色模型与传统灰色模型的研究桥梁.在此基础上研究了数乘变换对其参数取值的影响,结果表明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,模型的相对误差与所有变量的数乘变换都无关,这些结果对灰色模型系列性研究有重要意义.
In this paper, we constructed the discrete grey model of multi-variables, we contrasted the model with GM（ n, h） model and the result showed two models are equal to each other through data transformation. Then we could build the bridge of discrete grey model and traditional grey model. Based on this conclusion we researched the affections multiple transformation caused to discrete grey model of multi-variables. And the results show that the values of simulative and predicative are only dependent on the multiple transformation to the main variable and independent to other variables, relative errors are independent to all the variables. It is benefit to research on other grey models.
出处
《系统工程理论与实践》
EI
CSCD
北大核心
2008年第6期143-150,165,共9页
Systems Engineering-Theory & Practice
基金
国家自然科学基金(70473037)
南京航空航天大学特聘教授科研创新基金(1009-260812)
关键词
离散灰色模型
GM(n
h)模型
数乘变换
最小二乘法
累加生成
discrete grey model
GM（ n, h） model
multiple transformation
least square methods
accumulating generator operator
