Fractional order discrete grey GM(1, 1) power model based on oscillation sequences and its application

被引：0

作者：

Wang J.-F. ^{[1
]}

Luo D. ^{[1
]}

机构：

[1] School of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou

来源：

Kongzhi yu Juece/Control and Decision | 2017年 / 32卷 / 01期

关键词：

Discrete GM(1; 1) power model; Fractional order grey model; Ill-condition model; Oscillation sequences; Regularization;

D O I：

10.13195/j.kzyjc.2015.1233

中图分类号：

学科分类号：

摘要：

To overcome the system errors of the grey GM(1, 1) power model, in which the parameters estimation is discrete and the forecast function is continuous, a new fractional order grey discrete GM(1, 1) power model is constructed, and the method of regularization is used in stead of the least square method in some parameters' estimation because of the problem of ill-condition to improve the accuracy of parameters estimation. A new method is proposed to determine the optimization values of accumulation order and power exponential so as to increase the forecast precision. The tests on the forecast of industrial waste emissions rate and urban water consumption show that the proposed model and the methods of parameters estimation have higher forecast accuracy in oscillation sequences. © 2017, Editorial Office of Control and Decision. All right reserved.

引用

页码：176 / 180

页数：4

共 20 条

[1]

Deng J.L., Introduction of grey system, J of Grey System, 1, 1, pp. 1-24, (1989)

[2]

Liu S.F., Xie N.M., Et al., Grey System Theory and its Application, pp. 97-108, (2013)

[3]

Qian W.Y., Dang Y.G., GM(1, 1) model based on oscillation sequences, Systems Engineering-Theory & Pratice, 29, 3, pp. 149-154, (2009)

[4]

Yang F., Research on development of discrete grey model and its application, (2014)

[5]

Wang Z.X., Dang Y.G., Liu S.F., Et al., Solution of GM(1, 1) power model and its properties, Systems Engineering and Electronics, 31, 10, pp. 2380-2383, (2009)

[6]

Wang Z.X., Oscillating GM(1, 1) power model and its application, Control and Decision, 28, 10, pp. 1459-1464, (2013)

[7]

Wang Z.X., Grey forecasting method for small sample oscillating sequences based on Fourier series, Control and Decision, 29, 2, pp. 270-274, (2014)

[8]

Xie N.M., Liu S.F., Discrete GM(1, 1) and mechanism of grey forecasting model, Systems Engineering - Theory & Pratice, 25, 1, pp. 93-99, (2005)

[9]

Wu L.Y., Wu Z.P., Li M., Quadradic time-varying parameters discrete grey model, Systems Engineering-Theory & Pratice, 33, 11, pp. 2887-2893, (2013)

[10]

Yang B.H., Fang Z.G., Zhang K., Discrete GM(1, 1) model based on sequence of stepwise ratio, Systems Engineering and Electronics, 34, 4, pp. 715-718, (2012)

← 1 2 →