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**A prediction method using the grey model GMC(1,\(n\)) combined with the grey relational analysis: a case study on internet access population forecast.**
*(English)*
Zbl 1078.68549

Summary: Prediction is important for the modern scientific management. Accurate prediction can help the policymaker make correct decision and promote the decision-making quality. The paper proposed an integrated prediction method using the grey model GMC(1,\(n\)) combined with the improved grey relational analysis. The GMC(1,\(n\)) model, obtained by integrating the convolution technology in the GM(1,\(n\)) model to establish the exact solution of grey model, greatly enhances the applicability of latter. The effects of time lag are also included in the study. The improved grey relational analysis considers the consistency of two factors not only in “magnitude”, as the traditional grey relational method did, but also “direction”. The proposed combined method provides tremendous improvement over the existing method. At the end, the application of the proposed the grey prediction model GMC(1,\(n\)) has high accuracy of prediction and Taiwan’s Internet access population will be forecasted in this article by GMC(1,\(n\)) combined with the grey relational grade analysis.

### MSC:

68M10 | Network design and communication in computer systems |

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\textit{W.-Y. Wu} and \textit{S.-P. Chen}, Appl. Math. Comput. 169, No. 1, 198--217 (2005; Zbl 1078.68549)

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### References:

[1] | Deng, J., Control problems of grey system, Systems & control letters, 1, 5, 288-294, (1982) · Zbl 0482.93003 |

[2] | Chen, C.; Tien, T., A new transfer function model: the gray dynamic model GDM(2,2,1), International journal of systems science, 27, 12, 1371-1379, (1996) · Zbl 0878.93004 |

[3] | Chen, C.; Tien, T., A new forecasting model GDM(2,2,1)of dynamic systems, Proceeding of the royal society of London, A, 453, 879-896, (1997) · Zbl 0915.93059 |

[4] | Hsiao, S.W.; Liu, M.C., A morphing method for shape generation and image prediction in product design, Design studies, 23, 5, 533-556, (2002) |

[5] | Hsu, C.I.; Wen, Y.H., Improved grey prediction model for trans-Pacific air passenger market, Transportation planning and technology, 22, 2, 87-107, (1998) |

[6] | Hsu, L., Applying the grey prediction model to the global integrated circuit industry, Technological forecasting and social change, 70, 177-186, (2003) |

[7] | Le, K., Grey forecasting control: a new control scheme, Advanced model simulation, 14, 2, 27-36, (1988) |

[8] | Lin, C.T.; Yang, S.Y., Forecast of the out-put value of taiwan’s opto-electronics industry using the grey forecasting model, Technological forecasting and social change, 70, 177-186, (2003) |

[9] | Song, S., The application of grey system theory to earthquake prediction in JiangSu area, The journal of grey system, 4, 4, 359-367, (1992) |

[10] | T. Tien, C. Chen, Grey prediction model GM(1,n) by convolution integral, in: Proceedings on Seminar of Grey System Theory and Application in 2002, 2002, pp. I39-I43. |

[11] | Deng, J., Essential topics on grey systems: theory and applications, (1988), China Ocean Press Beijing |

[12] | Deng, J., Grey forecasting and decision making, (1986), Huazhong University of Science and Technology Press, (in Chinese) |

[13] | Luo, M.; Kuhnell, B.T., Fault detection using grey relational grade analysis, The journal of grey system, 5, 4, 319-328, (1993) · Zbl 0846.90042 |

[14] | Meng, Q., The application of grey relational analysis to patent information, The journal of grey system, 6, 1, 69-73, (1993) |

[15] | T. Tien, S. Chen, An improvement to the grey decision-making of correlation, in: Proceedings on Seminar of Grey System Theory and Application in 1997, 1997, pp. 97-104. |

[16] | O’Neil, P.V., Advanced engineering mathematics, (2003), Brooks/Cole Publishing Company |

[17] | Erwin, K., Advanced engineering mathematics, (1999), John Wiley & Son, Inc. |

This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.