Vincent B. Getanda,∗,∗∗ Hidetoshi Oya,∗∗∗ Tomohiro Kubo,∗∗∗∗ and Yosuke Sato∗∗∗∗∗


  1. [1] J.L. Deng, Introduction to grey system theory, The Journal ofGrey System, 1(1), 1989, 1–24.
  2. [2] S. Ye, Research on urban road traffic congestion chargingbased on sustainable development, International Conference onApplied Physics and Industrial Engineering, Physics Procedia,24(2012), 2012, 1567–1572.
  3. [3] L. Wu, S. Liu, D. Liu, Z. Fang, and H. Xu, Modelling andforecasting CO2 emissions in the BRICS (Brazil, Russia, India,China, and South Africa) countries using a novel multi-variablegrey model, Energy, 79(2015), 2015, 489–495.
  4. [4] S. Mori, K. Tada, R. Idu, and H. Oya, Traffic jam analysisand CO2 emission models in Tokushima city via MITRAM(in Japanese), Proc. of 2013 Annual Conf. of Electronics,Information and Systems Society, IEE of Japan, Kitami, 2013,1046–1051.
  5. [5] N.T. Ratrout and S.M. Rahman, A comparative analysis ofcurrently used microscopic and macroscopic traffic simulationsoftware, The Arabian Journal for Science and Engineering,34(1B), 2009, 121–133.
  6. [6] G.E.P. Box, G.M. Jenkins, and G.C. Reinsel, Time SeriesAnalysis – Forecasting and Control 3rd ed (Englewood Cliff,New Jersey, US: Prentice Hall, 1994).
  7. [7] M. Ghanai and K. Chafaa, Efficient fuzzy identification methodfor nonlinear systems and signals, Mechatronic Systems andControl (formerly Control and Intelligent Systems), 39(2),2011, 116–121.
  8. [8] M.N. Martins, R. Waschburger, and R.K.H. Galv˜ao, Identi-fication of multiscale state-space models from input–outputdata, Mechatronic Systems and Control (formerly Control andIntelligent Systems), 43(1), 2015, 8–16.33
  9. [9] J.L. Deng, The Basis of Grey Theory (Wuhan, China: Pressof Huazhong University of Science & Technology, 2002).
  10. [10] Y. Wang, F. Wei, C. Sun, and Q. Li, The research of improvedgrey GM(1,1) model to predict the postprandial glucose intype 2 diabetes, BioMed Research International, 2016(2016),2016, 1–6.
  11. [11] H. (Huiru) Zhao, H. (Haoran) Zhao, and S. Guo, Using GM(1,1)optimized by MFO with rolling mechanism to forecast theelectricity consumption of inner Mongolia, Applied Sciences,6(1), 2016, 20.
  12. [12] S.F. Liu and Y. Lin, Grey Information Theory and PracticalApplications (London: Springer-Verlag, 2006).
  13. [13] Y. Wang, Y. Dang, Y. Li, and S. Liu, An approach to increaseprediction precision of GM(1,1) model based on optimization ofthe initial condition, Expert Systems with Applications, 37(8),2010, 5640–5644.
  14. [14] T.L. Tien, A new grey prediction model FGM(1,1), Mathe-matical and Computer Modelling, 49(7–8), 2009, 1416–1426.
  15. [15] T.L. Tien, The deterministic grey dynamic model with convo-lution integral DGDMC(1,n), Applied Mathematical Modelling,33(8), 2009, 3498–3510.
  16. [16] N.M. Xie and S.F. Liu, Discrete grey forecasting model andits optimization, Applied Mathematical Modelling, 33(2), 2009,1173–1186.
  17. [17] N.M. Xie, S.F. Liu, Y.J. Yang, and C.Q. Yuan, On novel greyforecasting model based on non-homogeneous index sequence,Applied Mathematical Modelling, 37(7), 2013, 5059–5068.
  18. [18] G.B. Vincent, H. Oya, and T. Kubo, Improving the accuracyof the GM(1,1) by data grouping technique and its applicationto forecast vehicle volume and CO2 emission in TokushimaCity, Japan, Proc. of the 36th IASTED International Conf. onModeling, Identification and Control (MIC 2017), Innsbruck,Austria, February 20–21, 2017, 39–46.
  19. [19] X. Liu, H. Peng, Y. Bai, Y. Zhu, and L. Liao, Tourismflows prediction based on an improved grey GM(1,1) model,Procedia-Social and Behavioral Sciences, 138, 2014, 767–775.
  20. [20] M.H. Madhi and N. Mohamed, Optimized GM(1,1) modelbased on the modified initial condition, Journal of AppliedSciences, 17(2), 2017, 90–96.
  21. [21] M. Reza Lotfalipour, M. Ali Falahi, and M. Bastam, Predictionof CO2 emissions in Iran using grey and ARIMA models,International Journal of Energy Economics and Policy, 3(3),2013, 229–237.
  22. [22] Z. Tailei, W. Kai, and Z. Xueliang, Modelling and analyzing thetransmission dynamics of HBV epidemic in Xinjiang, China,PLoS One, 10(9), 2015, e0138765.

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