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Evolutionary Fuzzy Relational Modeling for Fuzzy Time Series Forecasting

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Abstract

The use of fuzzy time series has attracted considerable attention in studies that aim to make forecasts using uncertain information. However, most of the related studies do not use a learning mechanism to extract valuable information from historical data. In this study, we propose an evolutionary fuzzy forecasting model, in which a learning technique for a fuzzy relation matrix is designed to fit the historical data. Taking into consideration the causal relationships among the linguistic terms that are missing in many existing fuzzy time series forecasting models, this method can naturally smooth the defuzzification process, thus obtaining better results than many other fuzzy time series forecasting models, which tend to produce stepwise outcomes. The experimental results with two real datasets and four indicators show that the proposed model achieves a significant improvement in forecasting accuracy compared to earlier models.

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References

  1. Song, Q., Chissom, B.S.: Fuzzy time series and its models. Fuzzy Sets Syst 54, 269–277 (1993)

    Article  MathSciNet  MATH  Google Scholar 

  2. Sullivan, J., Woodall, W.H.: A comparison of fuzzy forecasting and Markov modeling. Fuzzy Sets Syst 64, 279–293 (1994)

    Article  Google Scholar 

  3. Hsu, Y.Y., Tse, S.M., Wu, B.: A new approach of bivariate fuzzy time series analysis to the forecasting of a stock index. Int. J. Uncertain. Fuzziness Knowl.-Based Syst. 11, 671–690 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  4. Chen, S.M.: Forecasting enrollments based on fuzzy time series. Fuzzy Sets Syst. 81, 311–319 (1996)

    Article  Google Scholar 

  5. Chen, S.M., Hwang, J.R.: Temperature prediction using fuzzy time series. IEEE Trans. Syst. Man Cybern. B Cybern. 30, 263–275 (2000)

    Article  Google Scholar 

  6. Huarng, K.: Heuristic models of fuzzy time series for forecasting. Fuzzy Sets Syst. 123, 369–386 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  7. Chen, S.M.: Forecasting enrollments based on high-order fuzzy time series. Cybern. Syst. 33, 1–16 (2002).

    Article  Google Scholar 

  8. Own, C.M., Yu, P.T.: Forecasting fuzzy time series on a heuristic high-order model. Cybern. Syst. 36, 705–717 (2005)

    Article  MATH  Google Scholar 

  9. Lee, C.H.L., Liu, A., Chen, W.S.: Pattern discovery of fuzzy time series for financial prediction. IEEE Trans. Knowl. Data Eng. 18, 613–625 (2006)

    Article  Google Scholar 

  10. Li, S.T., Cheng, Y.C.: Deterministic fuzzy time series model for forecasting enrollments. Comput. Math. Appl. 53, 1904–1920 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  11. Li, S.T., Cheng, Y.C.: An enhanced deterministic fuzzy time series forecasting model. Cybern. Syst. 40, 211–235 (2009)

    Article  MATH  Google Scholar 

  12. Li, S.T., Cheng, Y.C.: A stochastic HMM-based forecasting model for fuzzy time series. IEEE Trans. Syst. Man Cybern. B Cybern. 40, 1255–1266 (2010)

    Article  Google Scholar 

  13. Li, S.T., Kuo, S.C., Cheng, Y.C., Chen, C.C.: Deterministic vector long-term forecasting for fuzzy time series. Fuzzy Sets Syst. 161, 1852–1870 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  14. Li, S.T., Kuo, S.C., Cheng, Y.C., Chen, C.C.: A vector forecasting model for fuzzy time series. Appl. Soft Comput. 11, 3125–3134 (2011)

    Article  Google Scholar 

  15. Huarng, K., Yu, H.K.: A type 2 fuzzy time series model for stock index forecasting. Phys. A 353, 445–462 (2005)

    Article  Google Scholar 

  16. Huarng, K., Yu, T.H.-K.: The application of neural networks to forecast fuzzy time series. Phys. A 363, 481–491 (2006)

    Article  Google Scholar 

  17. Yu, H.K.: A refined fuzzy time-series model for forecasting. Phys. A 346, 657–681 (2005)

    Article  Google Scholar 

  18. Yu, H.K.: Weighted fuzzy time series models for TAIEX forecasting. Phys. A 349, 609–624 (2005)

    Article  Google Scholar 

  19. Chen, S.M., Chung, N.Y.: Forecasting enrollments using high-order fuzzy time series and genetic algorithms. Int. J. Intell. Syst. 21, 485–501 (2006)

    Article  MATH  Google Scholar 

  20. Lee, L.W., Wang, L.H., Chen, S.M.: Temperature prediction and TAIFEX forecasting based on fuzzy logical relationships and genetic algorithms. Expert Syst. Appl. 33, 539–550 (2007)

    Article  Google Scholar 

  21. Cheng, C.H., Huang, S.F., Teoh, H.J.: Predicting daily ozone concentration maxima using fuzzy time series based on a two-stage linguistic partition method. Comput. Math. Appl. 62, 2016–2028 (2011)

    Article  Google Scholar 

  22. Joshi, B.P., Kumara, S.: Intuitionistic fuzzy sets based method for fuzzy time series forecasting. Cybern. Syst. 43(1), 34–47 (2012)

    Article  Google Scholar 

  23. Lee, L.W., Wang, L.H., Chen, S.M., Leu, Y.H.: Handling forecasting problems based on two-factors high-order fuzzy time series. IEEE Trans. Fuzzy Syst. 14, 468–477 (2006)

    Article  Google Scholar 

  24. Holland, J.H.: Adaptation in Natural and Artificial Systems. University of Michigan Press, Ann Arbor (1975)

    Google Scholar 

  25. Goldberg, D.E.: Genetic Algorithm in Search, Optimization, and Machine Learning. Addison-Wesley, Reading (1989)

    Google Scholar 

  26. Davis, L.: Handbook of Genetic Algorithms. Von Nostrand Reinhold, New York (1991)

    Google Scholar 

  27. Gen, M., Cheng, R.: Genetic Algorithms and Engineering Design. Wiley-Interscience, New York (1997)

    Google Scholar 

  28. Man, K.F., Tang, K.S., Kwong, S.: Genetic Algorithms. Springer, London (1999)

    Book  MATH  Google Scholar 

  29. Song, Q., Chissom, B.S.: Forecasting enrollments with fuzzy time series—part I. Fuzzy Sets Syst. 54, 1–10 (1993)

    Article  MathSciNet  Google Scholar 

  30. Herrera, F., Lozano, M., Verdegay, J.L.: Tackling real-coded genetic algorithms: operators and tools for behavioural analysis. Artif. Intell. Rev. 12, 265–319 (1998)

    Article  MATH  Google Scholar 

  31. Jun, J., Yao, X.: Drift analysis and average time complexity of evolutionary algorithms. Artif. Intell. 127, 57–85 (2001)

    Article  Google Scholar 

  32. Liu F, Du P, Weng F, Qu J (2007) Use clustering to improve neural network in financial time series prediction. In: IEEE Third International Conference on Natural Computation, vol. 2, pp. 89–93

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Acknowledgments

The authors gratefully appreciate the financial support provided by the National Science Council, Taiwan, R.O.C., under contracts NSC 101-2410-H-434-001 and NSC99-2410-H-006-054-MY3.

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Correspondence to Sheng-Tun Li.

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Kuo, SC., Chen, CC. & Li, ST. Evolutionary Fuzzy Relational Modeling for Fuzzy Time Series Forecasting. Int. J. Fuzzy Syst. 17, 444–456 (2015). https://doi.org/10.1007/s40815-015-0043-2

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  • DOI: https://doi.org/10.1007/s40815-015-0043-2

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