Skip to main content

Research on Optimum Weighted Combination GM(1,1) Model with Different Initial Value

  • Conference paper
  • First Online:
  • 2918 Accesses

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9227))

Abstract

In this paper, a new method of GM(1,1) model based on optimum weighted combination with different initial value is put forward. The new proposed model is comprised of weighted combination models with different initial value of raw data. Weighted coefficients of every model in the combination are derived from a method of minimizing error summation of square. The optimum weighted combination can express the principle of new information priority emphasized on in grey systems theory fully. The result of a numerical example indicates that optimum weighted combination GM (1,1) model presented in this paper can obtain a better prediction performance than that from the original GM(1,1) model.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  1. Deng, J.L.: The Basis of Grey Theory, pp. 1–2. Press of Huazhong University of Science & Technology, Wuhan (2002)

    Google Scholar 

  2. Liu, S.F., Dang, Y.G., Fang, Z.G.: Grey System Theory and Its Application, pp. 1–3. Science Press, Belling (2004)

    MATH  Google Scholar 

  3. Chin-Tsai, L., Shih-Yu, Y.: Forecast of the output value of Taiwan’s opto-electronics industry using the grey forecasting model. Technol. Forecast. Soc. Change 70, 177–186 (2003)

    Article  Google Scholar 

  4. Wang, Y., Chen, Z., Gao, Z., Chen, M.: A generalization of the GM(1,1) direct modeling method with a step by step optimizing grey derivative’s whiten values and its applications. Kybernetes 33(2), 382–389 (2004)

    Article  Google Scholar 

  5. Mu, Y.: An unbiased GM(1,1) model with optimum grey derivative’s whitening values. Math. Pract. Theor. 33(3), 13–16 (2003)

    Google Scholar 

  6. Mu, Y.: A direct modeling method of the unbiased GM(1,1). Syst. Eng. Electron. 25(9), 1094–1095 (2003)

    Google Scholar 

  7. Li, C., Dai, W.: Determinator of the background level in the non—equidistant GM(1,1)model. J. Tsinghua Univ. Sci. Technol. 47(s2), 1729–1732 (2007)

    MATH  Google Scholar 

  8. Wang, Y.M., Dang, Y.G., Wang, Z.X.: The optimization of background value in non—equidistant GM(1,1)model. Chin. J. Manag. Sci. 16(4), 159–162 (2008)

    MathSciNet  Google Scholar 

  9. Xie, N., Liu, S.: Discrete grey forecasting model and its optimization. Appl. Math. Model. (2008). doi:10.1016/j.apm.2008.01.011

    Google Scholar 

  10. Liu, S., Lin, Y.: Grey Information Theory, and Practical Applications. Springer, London (2006)

    Google Scholar 

  11. Yuhong, W., et al.: An approach to increase prediction precision of GM(1,1) model based on optimization of the initial condition. Expert Syst. Appl. 37(8), 5640–5644 (2010)

    Article  Google Scholar 

  12. Yungui, L., Qingfu, L., Guofan, Z.: The improvement of grey GM (1,1) model. Syst. Eng. 6, 27–31 (1992)

    Google Scholar 

  13. Yang, Z., et al.: Forecast annual electricity consumption of ultra-exponent increase trend by curve fitting. J. Tianjin Univ. 41(11), 1299–1302 (2008)

    MATH  Google Scholar 

  14. Geng, K.: The discuss on method of optimum weighted combination. Technol. Econ. Res. Quant. Econ. 11, 42–44 (1998)

    Google Scholar 

  15. Zhang, Y., Zhou, A.: The application of optimum weighted combination prediction. Technol. Econ. Res. Quant. Econ. 10, 56–60 (1997)

    MATH  Google Scholar 

  16. Zhang, D., Jiang, S., Shi, K.: The theoretical defect and improvement of grey prediction model. Syst. Eng. Theor. Pract., 140–142 (2002)

    Google Scholar 

  17. Ming, H., Jun, L., Xiang, P.: Applications of weighted regression model and weighted GM in slope deformation forecast. J. Yangtze River Sci. Res. Inst. 22(4), 76–79 (2005)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Qiumei Chen .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Chen, Q., Li, J. (2015). Research on Optimum Weighted Combination GM(1,1) Model with Different Initial Value. In: Huang, DS., Han, K. (eds) Advanced Intelligent Computing Theories and Applications. ICIC 2015. Lecture Notes in Computer Science(), vol 9227. Springer, Cham. https://doi.org/10.1007/978-3-319-22053-6_39

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-22053-6_39

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-22052-9

  • Online ISBN: 978-3-319-22053-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics