差分方程型离散灰色模型与应用
发布时间：2019-01-28 22:36
【摘要】：离散灰色模型形式多种多样,新提出差分方程型离散灰色模型(称为DEDGM模型),并给出了一阶常系数非齐次差分方程型离散灰色模型、一阶变系数非齐次差分方程型离散灰色模型、二阶常系数非齐次差分方程型离散灰色模型、二阶变系数非齐次差分方程型离散灰色模型的建立方法。实例表明,新提出的方法有较高的预测精度,丰富了灰色预测建模方法体系,对研究其它更复杂的离散灰色模型有重要启示。
[Abstract]:The form of discrete grey model is varied. A new discrete grey model of difference equation type (called DEDGM model) is proposed, and the first order discrete grey model of nonhomogeneous difference equation with constant coefficients is given. The method of establishing the discrete grey model of the first order nonhomogeneous difference equation with variable coefficient, the discrete grey model of the second order nonhomogeneous difference equation with constant coefficient, and the type of the second order nonhomogeneous difference equation with variable coefficient. The example shows that the new method has high prediction accuracy and enriches the grey prediction modeling method system. It has important implications for the study of other more complex discrete grey models.
【作者单位】： 苏州科技大学数理学院;苏州科技大学商学院;
【分类号】：N941.5;O241.8
[Abstract]:The form of discrete grey model is varied. A new discrete grey model of difference equation type (called DEDGM model) is proposed, and the first order discrete grey model of nonhomogeneous difference equation with constant coefficients is given. The method of establishing the discrete grey model of the first order nonhomogeneous difference equation with variable coefficient, the discrete grey model of the second order nonhomogeneous difference equation with constant coefficient, and the type of the second order nonhomogeneous difference equation with variable coefficient. The example shows that the new method has high prediction accuracy and enriches the grey prediction modeling method system. It has important implications for the study of other more complex discrete grey models.
【作者单位】： 苏州科技大学数理学院;苏州科技大学商学院;
【分类号】：N941.5;O241.8
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