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

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Title: On Translational Operator-based DGM(1,1) Model and its Properties.
Authors: Xiong Lü1 nmndlx6182@163.com, Jun Zhang1,2, 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]
Copyright of Journal of Grey System is the property of Research Information Ltd. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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An: 135096298
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  Data: On Translational Operator-based DGM(1,1) Model and its Properties.
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Grey+System%22">Journal of Grey System</searchLink>. 2019, Vol. 31 Issue 1, p13-22. 10p.
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  Data: <searchLink fieldCode="DE" term="%22Gray+forecasting+model%22">Gray forecasting model</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+transformations%22">Mathematical transformations</searchLink><br /><searchLink fieldCode="DE" term="%22Variances%22">Variances</searchLink><br /><searchLink fieldCode="DE" term="%22Empirical+research%22">Empirical research</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+models+of+decision+making%22">Mathematical models of decision making</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: 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]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Grey System is the property of Research Information Ltd. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Code: eng
        Text: English
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        PageCount: 10
        StartPage: 13
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      – SubjectFull: Gray forecasting model
        Type: general
      – SubjectFull: Mathematical transformations
        Type: general
      – SubjectFull: Variances
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      – SubjectFull: Empirical research
        Type: general
      – SubjectFull: Mathematical models of decision making
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      – TitleFull: On Translational Operator-based DGM(1,1) Model and its Properties.
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            NameFull: Jun Zhang
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            NameFull: Guorong Wu
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            NameFull: Guodong Wu
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            NameFull: Yuanyuan Liu
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            – D: 01
              M: 01
              Text: 2019
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