On Translational Operator-based DGM(1,1) Model and its Properties.

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Bibliographic Details
Title:	On Translational Operator-based DGM(1,1) Model and its Properties.
Authors:	Xiong Lü¹ nmndlx6182@163.com, Jun Zhang^1,2, Guorong Wu¹, Guodong Wu¹, Yuanyuan Liu¹
Source:	Journal of Grey System. 2019, Vol. 31 Issue 1, p13-22. 10p.
Subjects:	Gray forecasting model, Mathematical transformations, Variances, Empirical research, Mathematical models of decision making
Abstract:	Function transformation is a common approach to improve accuracy of the grey forecasting model. Discrete GM(1,1) model (DGM(1,1)) is an important member of the family of grey system models. To improve the fitting accuracy of an oscillating sequence, the variable speed translational operator-based DGM(1,1) model was built and the fitting accuracy was compared with those of other methods in this study. Furthermore, to determine how variable speed transitional operator affect predictive accuracy of the DGM(1,1) model, the empirical analysis of property for variable speed translational operator was conducted. The results demonstrated that the proposed variable speed transitional operator to reduce second-order step-wise variance and second-order stepwise ratio deviation were effective in improving accuracy of DGM(1,1) model for the oscillating sequence. It will supplement the criterion of function transformation and widen the application range of the grey forecasting model. [ABSTRACT FROM AUTHOR]
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Database:	Engineering Source

Description
Abstract:	Function transformation is a common approach to improve accuracy of the grey forecasting model. Discrete GM(1,1) model (DGM(1,1)) is an important member of the family of grey system models. To improve the fitting accuracy of an oscillating sequence, the variable speed translational operator-based DGM(1,1) model was built and the fitting accuracy was compared with those of other methods in this study. Furthermore, to determine how variable speed transitional operator affect predictive accuracy of the DGM(1,1) model, the empirical analysis of property for variable speed translational operator was conducted. The results demonstrated that the proposed variable speed transitional operator to reduce second-order step-wise variance and second-order stepwise ratio deviation were effective in improving accuracy of DGM(1,1) model for the oscillating sequence. It will supplement the criterion of function transformation and widen the application range of the grey forecasting model. [ABSTRACT FROM AUTHOR]
ISSN:	09573720