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Property of derived grey verhulst model with multiple transformation

Jie Cui (College of Economics and Management, Huai Yin Institute of Technology, Huai an, Jiangsu, China)
Naiming Xie (College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu, China)
Hongyan Ma (College of Economics and Management, Huai Yin Institute of Technology, Huai an, Jiangsu, China)
Hong liang Hu (College of Economics and Management, Huai Yin Institute of Technology, Huai an, Jiangsu, China)
Zhengya Yang (Huai Yin Institute of Technology, Huai an, Jiangsu, China)
Chaoqing Yuan (College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu, China)

Grey Systems: Theory and Application

ISSN: 2043-9377

Article publication date: 29 July 2014

369

Abstract

Purpose

The purpose of this paper is to study the properties of derived grey verhulst prediction model with multiplication transformation and reduce its modeling complexity.

Design/methodology/approach

The paper discussed the parameter characteristics of grey derived verhulst model under multiple transformation, and demonstrated its effect on its simulative value and predictive value by investigating the multiple transformation acting on the raw data sequence of this grey model. The parameter characteristics of this model under multiple transformations and its effect of the simulation value and forecasting value are analyzed by studying the properties of multiply transformation of this model.

Findings

The research finding shows that the modeling accuracy of derived grey verhulst model is in no relation to multiple transformations.

Practical implications

The above results imply that the data level can be reduced; the process of building derived grey verhulst model can be simplified; but the simulative and predictive accuracy of this model remain unchanged.

Originality/value

The paper succeeds in realising the properties of derived grey verhulst model by using the method of multiplication transformation, which is helpful to understand the modeling mechanism and expand the application range of derived grey verhulst model.

Keywords

Acknowledgements

The authors thank the anonymous referees for their comments and suggestions. This work is supported by National Natural Science Foundation of China under Grant Nos 71301060, 71171113, The Humanistic and Social Science Youth Foundation of Ministry of Education of China (13YJC630109), The Humanistic and Social Science Planning Foundation of Ministry of Education of China (12YJA630122), the Social Science Foundation of College of Jiangsu Province (2013SJB6300009), Natural Science Foundation of Jiangsu Province (BK20130785), and Qing Lan Project of Jiangsu Province (2010).

Citation

Cui, J., Xie, N., Ma, H., liang Hu, H., Yang, Z. and Yuan, C. (2014), "Property of derived grey verhulst model with multiple transformation", Grey Systems: Theory and Application, Vol. 4 No. 2, pp. 144-153. https://doi.org/10.1108/GS-11-2013-0026

Publisher

:

Emerald Group Publishing Limited

Copyright © 2014, Emerald Group Publishing Limited

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