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基于信息再利用的灰色系统GM(1.1)模型建模方法及应用
引用本文:张世强.基于信息再利用的灰色系统GM(1.1)模型建模方法及应用[J].数学的实践与认识,2009,39(13).
作者姓名:张世强
作者单位:重庆医科大学,数学教研室,生物医学工程研究室,法医学与生物医学信息研究室,四川,重庆,400016
基金项目:重庆医科大学科技基金 
摘    要:目的:寻找新的灰色系统GM(1.1)模型建模方法,建立拟合精度与预测精度较高的GM(1.1)模型.方法:在邓聚龙教授建模方法的基础上,用基于信息再利用的方法,建立新的灰色系统GM(1.1)模型.结果:用基于信息再利用的灰色系统GM(1.1)模型建模方法建立的GM(1.1)模型,其拟合精度与预测精度不但优于传统方法建立的GM(1.1)模型,而且优于其他改进方法建立的GM(1.1)模型.结论:基于信息再利用的灰色系统GM(1.1)模型建模方法不但建模过程简单适用,而且其建立的GM(1.1)模型拟合精度与预测精度优于其他改进方法建立的GM(1.1)模型,因而具有广泛的应用价值.

关 键 词:灰色系统  数学模型  灰色模型  GM(1.1)模型

Modeling Method of Grey System GM (1.1) Model Based Information Reused and It's Application
ZHANG Shi-qiang.Modeling Method of Grey System GM (1.1) Model Based Information Reused and It's Application[J].Mathematics in Practice and Theory,2009,39(13).
Authors:ZHANG Shi-qiang
Abstract:Objective: To Find a new method that set up grey system GM(1.1) model. Methods: On the Professor DENG Ju-long′s modeling GM(1.1) model method,we set up a modeling method of grey system GM(1.1) model based information reused. Result: The GM(1.1) model that the modeling method of grey system GM(1.1) model based information reused set up not only has better precision than the GM(1.1) model that the traditional method set up,but also has better precision than the GM(1.1) models that other methods set up. Conclusion: The GM(1.1) model that the modeling method of grey system GM(1.1) model based information reused set up not only has simple modeling procedure,but also has better precision than the GM(1.1) models that other methods set up,so the new method has wide-ranging use value.
Keywords:grey system  mathematical model  grey model  GM(1  1) model
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