Fractional-Order Accumulative Linear Time-Varying Parameters Discrete Grey Forecasting Model
Joint Authors
Gao, Pumei
Zhan, Jun
Liu, Jiefang
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-05-02
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Traditional discrete grey forecasting model can effectively predict the development trend of the stabilizing system.
However, when the system has disturbance information, the prediction result will have larger error, and there will appear significant downward trend in the stability of the model.
In the presence of disturbance information, this paper presents a fractional-order linear time-varying parameters discrete grey forecasting model to deal with the system that contains both linear trend and nonlinear trend.
The modeling process of the model and calculation method are given.
The perturbation bounds of the new model are analyzed by using the least-squares method of perturbation theory.
And it is compared with that of the first-order linear time-varying parameters discrete grey forecasting model.
Finally, two real cases are given to verify the effectiveness and practicality of the proposed method.
American Psychological Association (APA)
Gao, Pumei& Zhan, Jun& Liu, Jiefang. 2019. Fractional-Order Accumulative Linear Time-Varying Parameters Discrete Grey Forecasting Model. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-11.
https://search.emarefa.net/detail/BIM-1196500
Modern Language Association (MLA)
Gao, Pumei…[et al.]. Fractional-Order Accumulative Linear Time-Varying Parameters Discrete Grey Forecasting Model. Mathematical Problems in Engineering No. 2019 (2019), pp.1-11.
https://search.emarefa.net/detail/BIM-1196500
American Medical Association (AMA)
Gao, Pumei& Zhan, Jun& Liu, Jiefang. Fractional-Order Accumulative Linear Time-Varying Parameters Discrete Grey Forecasting Model. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-11.
https://search.emarefa.net/detail/BIM-1196500
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1196500