Skip to main content

Fuzzy Rule-Based Ensemble for Time Series Prediction: Progresses with Associations Mining

  • Chapter
Book cover Strengthening Links Between Data Analysis and Soft Computing

Abstract

As there are many various methods for time series prediction developed but none of them generally outperforms all the others, there always exists a danger of choosing a method that is inappropriate for a given time series. To overcome such a problem, distinct ensemble techniques, that combine more individual forecasts, are being proposed. In this contribution, we employ the so called fuzzy rule-based ensemble. This method is constructed as a linear combination of a small number of forecasting methods where the weights of the combination are determined by fuzzy rule bases based on time series features such as trend, seasonality, or stationarity. For identification of fuzzy rule base, we use linguistic association mining. An exhaustive experimental justification is provided.

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

Access this chapter

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 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Agrawal, R., Srikant, R.: Fast algorithms for mining association rules. In: Proc. 20th Int. Conf. on Very Large Databases, pp. 487–499. AAAI Press, Chile (1994)

    Google Scholar 

  2. Armstrong, J.S., Adya, M., Collopy, F.: Rule-based forecasting using judgment in time series extrapolation. In: Armstrong, J.S. (ed.) Principles of Forecasting: A Handbook for Reasearchers and Practitioners. Kluwer Academic Publishers, Boston (2001)

    Chapter  Google Scholar 

  3. Assimakopoulos, V., Nikolopoulos, K.: The theta model: a decomposition approach to forecasting. International Journal of Forecasting 16(4), 521–530 (2000)

    Article  Google Scholar 

  4. Bates, J.M., Granger, C.W.J.: Combination of forecasts. Operational Research Quarterly 20, 451–468 (1969)

    Article  Google Scholar 

  5. Box, G., Jenkins, G.: Time Series Analysis: Forecasting and Control. Holden-Day, San Francisco (1976)

    Google Scholar 

  6. Collopy, F., Armstrong, J.S.: Rule-based forecasting: Development and validation of an expert systems approach to combining time series extrapolations. Management Science 38, 1394–1414 (1992)

    Article  Google Scholar 

  7. Dvořák, A., Štěpnička, M., Vavříčková, L.: Redundancies in systems of fuzzy/linguistic if-then rules. In: Proc. 7th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-2011) and LFA-2011. Advances in Intelligent Systems Research, pp. 1022–1029. Atlantic Press, Paris (2011)

    Google Scholar 

  8. Hájek, P.: The question of a general concept of the GUHA method. Kybernetika 4, 505–515 (1968)

    MATH  Google Scholar 

  9. Hájek, P., Havránek, T.: Mechanizing hypothesis formation: Mathematical foundations for a general theory. Springer, Heidelberg (1978)

    Book  MATH  Google Scholar 

  10. Hájek, P., Holeňa, M., Rauch, J.: The GUHA method and its meaning for data mining. Journal of Computer and Systems Sciences 76, 34–48 (2010)

    Article  MATH  Google Scholar 

  11. Hamilton, J.D.: Time Series Analysis. Princeton University Press, New Jersey (1994)

    Google Scholar 

  12. Hyndman, R., Koehler, A.: Another look at measures of forecast accuracy. International Journal of Forecasting 22, 679–688 (2006)

    Article  Google Scholar 

  13. Hyndman, R.J., Athanasopoulos, G., Razbash, S., Schmidt, D., Zhou, Z., Khan, Y., Bergmeir, C.: forecast: Forecasting functions for time series and linear models (2014), http://CRAN.R-project.org/package=forecast (r package version 5.3)

  14. Kupka, J., Tomanová, I.: Some extensions of mining of linguistic associations. Neural Network World 20, 27–44 (2010)

    Google Scholar 

  15. Lemke, C., Gabrys, B.: Meta-learning for time series forecasting in the nn gc1 competition. In: Proc. 16th IEEE Int. Conf. on Fuzzy Systems, Barcelona, pp. 2258–2262 (2010)

    Google Scholar 

  16. Makridakis, S., Fildes, R., Hibon, M., Lewandowski, R., Newton, J., Parzen, E., Winkler, R.: The accuracy of extrapolation (time-series) methods - results of a forecasting competition. Journal of Forecasting 1, 111–153 (1982)

    Article  Google Scholar 

  17. Makridakis, S., Hibon, M.: The m3–competition: results, conclusions and implications. International Journal of Forecasting 16, 451–476 (2000)

    Article  Google Scholar 

  18. Makridakis, S., Wheelwright, S., Hyndman, R.: Forecasting: methods and applications. John Wiley & Sons, USA (2008)

    Google Scholar 

  19. Newbold, P., Granger, C.W.J.: Experience with forecasting univariate time series and combination of forecasts. Journal of the Royal Statistical Society Series a-Statistics in Society 137, 131–165 (1974)

    Article  MathSciNet  Google Scholar 

  20. Novák, V.: Perception-based logical deduction. In: Reusch, B. (ed.) Computational Intelligence, Theory and Applications. ASC, pp. 237–250. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  21. Novák, V.: A comprehensive theory of trichotomous evaluative linguistic expressions. Fuzzy Sets and Systems 159(22), 2939–2969 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  22. Novák, V., Perfilieva, I., Dvořák, A., Chen, Q., Wei, Q., Yan, P.: Mining pure linguistic associations from numerical data. International Journal of Approximate Reasoning 48, 4–22 (2008)

    Article  MATH  Google Scholar 

  23. Sikora, D., Štěpnička, M., Vavříčková, L.: Fuzzy rule-based ensemble forecasting: Introductory study. In: Kruse, R., Berthold, M., Moewes, C., Gil, M.A., Grzegorzewski, P., Hryniewicz, O. (eds.) Synergies of Soft Computing and Statistics. AISC, vol. 190, pp. 379–387. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  24. Sudkamp, T.: Examples, counterexamples, and measuring fuzzy associations. Fuzzy Sets Systems 149(1), 57–71 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  25. Štěpničková, L., Štěpnička, M., Dvořák, A.: New results on redundancies of fuzzy/linguistic if-then rules. In: Proc. 8th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-2013), pp. 400–407. Atlantic Press, Milano (2013)

    Google Scholar 

  26. Štěpničková, L., Štěpnička, M., Sikora, D.: Fuzzy rule-based ensemble with use linguistic associations mining for time series prediction. In: Proc. 8th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-2013), pp. 408–415. Atlantic Press, Milano (2013)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Michal Burda .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Burda, M., Štěpnička, M., Štěpničková, L. (2015). Fuzzy Rule-Based Ensemble for Time Series Prediction: Progresses with Associations Mining. In: Grzegorzewski, P., Gagolewski, M., Hryniewicz, O., Gil, M. (eds) Strengthening Links Between Data Analysis and Soft Computing. Advances in Intelligent Systems and Computing, vol 315. Springer, Cham. https://doi.org/10.1007/978-3-319-10765-3_31

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-10765-3_31

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-10764-6

  • Online ISBN: 978-3-319-10765-3

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics