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Grey Relational Analysis and Its Application Based on the Angle Perspective in Time Series

Author

Listed:
  • Guodong Xu
  • Peng Guo
  • Xuemei Li
  • Yingying Jia

Abstract

The research scope of grey relational analysis has not been developed in recent years, and the exiting GRA models are all based on three perspectives, including distance perspective, slope perspective, and area perspective. Under this situation, a novel model called grey relational analysis based on angle perspective (GRAAP) was developed in this paper for the first time, and this model can expand the research scope of GRA. Like other GRA models, GRAAP not only has the properties of symmetry, uniqueness, comparability, and so forth but also can be used to make predictions, assessments, classifications, and so on. Finally, this novel model was proved to be rational and effective through a comparative study on the similar degree of four time series.

Suggested Citation

  • Guodong Xu & Peng Guo & Xuemei Li & Yingying Jia, 2014. "Grey Relational Analysis and Its Application Based on the Angle Perspective in Time Series," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:568697
    DOI: 10.1155/2014/568697
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    References listed on IDEAS

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    1. Zheng-Xin Wang, 2014. "Nonlinear Grey Prediction Model with Convolution Integral NGMC and Its Application to the Forecasting of China’s Industrial Emissions," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-9, March.
    2. Jinshan Ma, 2014. "Grey Target Decision Method for a Variable Target Centre Based on the Decision Maker’s Preferences," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-6, April.
    3. Zheng-Xin Wang, 2014. "Nonlinear Grey Prediction Model with Convolution Integral NGMC (1, n) and Its Application to the Forecasting of China’s Industrial SO2 Emissions," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    4. Jinshan Ma, 2014. "Grey Target Decision Method for a Variable Target Centre Based on the Decision Maker’s Preferences," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
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