Abstract
In order to improve the application area and the prediction accuracy of classical GM (1, 1) and Non Linear Grey Bernoulli Model (NGBM (1, 1)), a Fourier Grey model FRMGM (1, 1), and Fourier Non Linear Grey Bernoulli Model (abbreviated FRMNGBM (1, 1)) are proposed in this paper. These proposed models were built by using Fourier series to modify their residual values. To verify the effectiveness of these proposed models, the total coal consumption demand in China during period time from 1980 to 2012 was used to exam the forecast performance. The empirical results demonstrated that the accuracy of both GM (1, 1) and NGBM (1, 1) forecasting models after using Fourier series revised their residual error provided more accuracy than original ones. Furthermore, this paper also indicated that the FRMNGBM (1, 1) is the better model with MAPE=0.003.
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References
Deng, J.L.: Control problems of grey systems. Systems and Control Letters 5, 288–294 (1982)
Emil, S., Camelia, D.: Complete analysis of bankruptcy syndrome using grey systems theory. Grey Systems: Theory and Application 1, 19–32 (2011)
Hong, W., Fuzhong, C.: The application of grey system theory to exchange rate prediction in the post-crisis era. International Journal of Innovative Management 2(2), 83–89 (2011)
Chen, H.J.: Application of grey system theory in telecare. Computers in Biology and Medicine 41(5), 302–306 (2011)
Yi, L., Sifeng, L.: A historical introduction to grey system theory. In: IEEE International Conference on System, Man And Cybernetics, pp. 2403–2408 (2004)
Sifeng, L., Forrest, J., Yingjie, Y.: A brief introduction to grey system theory. In: 2011 IEEE International Conference on IEEE Grey Systems and Intelligent Services (GSIS) (2011)
Huang, Y.L., Lee, Y.H.: Accurately forecasting model for the stochastic volatility data in tourism demand. Modern economy 2(5), 823–829 (2011)
Chu, F.L.: Forecasting Tourism Demand in Asian-Pacific Countries. Annual of Tourism Research 25(3), 597–615 (1998)
Jiang, F., Lei, K.: Grey Prediction of Port Cargo Throughput Based on GM(1,1, a) Model. Logistics Technology 9, 68–70 (2009)
Guo, Z.J., Song, X.Q., Ye, J.: A Verhulst model on time series error corrected for port Cargo Throughput forecasting. Journal of the Eastern Asia Society for Transportation Studies 6, 881–891 (2005)
Kayacan, E., Ulutas, B., Kaynak, O.: Grey system theory-based models in time series prediction. Expert Systems with Applications 37, 1784–1789 (2010)
Askari, M., Askari, H.: Time Series Grey System Prediction-based Models: Gold Price Forecasting. Trends in Applied Sciences Research 6, 1287–1292 (2011)
Tsai, L.C., Yu, Y.S.: Forecast of the output value of Taiwan’s IC industry using the Grey forecasting model. International Journal of Computer Applications in Technology 19(1), 23–27 (2004)
Hsu, L.C.: Applying the grey prediction model to the global integrated circuit industry. Technological forecasting and Social change 70, 563–574 (2003)
Hsu, C.C., Chen, C.Y.: Application of improved grey prediction model for power demand forecasting. Energy Conversion and management 44, 2241–2249 (2003)
Kang, J., Zhao, H.: Application of Improved Grey Model in Long-term Load Forecasting of Power Engineering. Systems Engineering Procedia 3, 85–91 (2012)
Wang, C.N., Phan, V.T.: An enhancing the accurate of grey prediction for GDP growth rate in Vietnam. In: 2014 International Symposium on Computer, Consumer and Control (IS3C), pp. 1137–1139 (2014). doi:10.1109/IS3C.2014.295
Wang, Z.X., Hipel, K.W., Wang, Q., He, S.W.: An optimized NGBM (1, 1) model for forecasting the qualified discharge rate of industrial wastewater in China. Applied Mathematical Modelling 35, 5524–5532 (2011)
Ou, S.L.: Forecasting agriculture output with an improved grey forecasting model based on the genetic algorithm. Computers and Electronics in Agriculture 85, 33–39 (2012)
Truong, D.Q., Ahn, K.K.: An accurate signal estimator using a novel smart adaptive grey model SAGM (1, 1). Expert Systems with Applications 39(9), 7611–7620 (2012)
Makridakis, S.: Accuracy measures: Theoretical and practical concerns. International Journal of Forecasting 9, 527–529 (1993)
Wang, C.N., Phan, V.T.: An improvement the accuracy of grey forecasting model for Cargo Throughput in international commercial Ports of Kaohsiung. International Journal of Business and Economics Research 3(1), 1–5 (2014). doi:10.11648/j.ijber.20140301.11
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Wang, CN., Phan, VT. (2015). An Improved Grey Forecasting Models: Case in China’s Coal Consumption Demand. In: Núñez, M., Nguyen, N., Camacho, D., Trawiński, B. (eds) Computational Collective Intelligence. Lecture Notes in Computer Science(), vol 9330. Springer, Cham. https://doi.org/10.1007/978-3-319-24306-1_53
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DOI: https://doi.org/10.1007/978-3-319-24306-1_53
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