提高建模精度的含参变量函数变换的特征与参数范围
|
摘要
文章针对单一函数变换不能同时保证缩小级比偏差和还原不扩大相对误差的特性,对含参变量函数变换进行研究,讨论了其变换能缩小级比偏差的参数范围及其在还原过程中不扩大误差的函数特征。通过实例验证了方法的的合理性及可靠性。
The single function transformation does not guarantee the characteristics of reducing class ratio deviation and reducing relative error without enlarging, at which the paper aims to make a research on the function transformation with parametric variables, and also discusses the parameter range of class ratio deviation that its transformation can reduce, and the function feature that does not enlarge relative error during its reversion process. Finally, the rationality and reliability of the proposed method are verified by an example.
The single function transformation does not guarantee the characteristics of reducing class ratio deviation and reducing relative error without enlarging, at which the paper aims to make a research on the function transformation with parametric variables, and also discusses the parameter range of class ratio deviation that its transformation can reduce, and the function feature that does not enlarge relative error during its reversion process. Finally, the rationality and reliability of the proposed method are verified by an example.
引文
[1]Deng J L. Control Problems of Grey System[J]. System and Control Letters,1982,1(5).
[2]邓聚龙.灰预测与灰决策[M].武汉:华中科技大学出版社,2002.
[3]陈涛捷.灰色预测模型的一种拓广[J].系统工程,1990,8(7).
[4]李群.多灰色预测模型的进一步拓广[J].系统工程理论与实践,1993,13(1).
[5]何斌,蒙清.灰色预测模型拓广方法研究[J].系统工程理论与实践,2002,22(9).
[6]李翠凤,戴文战.基于函数cot x变换的灰色建模方法[J].系统工程,2005,23(3).
[7]郑锋,魏勇.提高灰建模数据列光滑度的一种新方法[J].统计与决策,2007,(18).
[8]Jiang Z C, Wei Y, Ling J. The Necessary Condition of Function Transformation With the Inverse Transformation Relative Error No Enlargement[J].Grey Systems:Theory and Application,2015,5(1).
[9]黄福勇.灰色系统建模的变换方法[J].系统工程理论与实践,1994,11(6).
[10]蒋志成,魏勇.一种能够提高建模精度的含参变量函数变换及其应用[J].数学实践与认识,2017,47(12).
[11]Wei Y, Zhao P, Yong H. Comparison of the Deviation of Class Ration Based on Two Sequence With the Opposite Monotonicity[C].2012 Fifth International Conference on Intelligent Computation Technology and Automation.Hu Nan,2012.
[12]钱吴永,党耀国.一种新型数据变换技术及其在GM(1,1)模型中的应用[J].系统工程与电子技术,2009,31(12).
[2]邓聚龙.灰预测与灰决策[M].武汉:华中科技大学出版社,2002.
[3]陈涛捷.灰色预测模型的一种拓广[J].系统工程,1990,8(7).
[4]李群.多灰色预测模型的进一步拓广[J].系统工程理论与实践,1993,13(1).
[5]何斌,蒙清.灰色预测模型拓广方法研究[J].系统工程理论与实践,2002,22(9).
[6]李翠凤,戴文战.基于函数cot x变换的灰色建模方法[J].系统工程,2005,23(3).
[7]郑锋,魏勇.提高灰建模数据列光滑度的一种新方法[J].统计与决策,2007,(18).
[8]Jiang Z C, Wei Y, Ling J. The Necessary Condition of Function Transformation With the Inverse Transformation Relative Error No Enlargement[J].Grey Systems:Theory and Application,2015,5(1).
[9]黄福勇.灰色系统建模的变换方法[J].系统工程理论与实践,1994,11(6).
[10]蒋志成,魏勇.一种能够提高建模精度的含参变量函数变换及其应用[J].数学实践与认识,2017,47(12).
[11]Wei Y, Zhao P, Yong H. Comparison of the Deviation of Class Ration Based on Two Sequence With the Opposite Monotonicity[C].2012 Fifth International Conference on Intelligent Computation Technology and Automation.Hu Nan,2012.
[12]钱吴永,党耀国.一种新型数据变换技术及其在GM(1,1)模型中的应用[J].系统工程与电子技术,2009,31(12).