Skip to main content

Regression Modeling with Fuzzy Relations

  • Conference paper
Artificial Intelligence and Soft Computing – ICAISC 2008 (ICAISC 2008)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5097))

Included in the following conference series:

Abstract

In the paper relational neuro-fuzzy systems are described with additional fuzzy relation connecting input and output linguistic fuzzy terms. Thanks to this the fuzzy rules have more complicated structure and can be better suited the task. Fuzzy clustering and relational equations are used to obtain the initial set of fuzzy rules and systems are then learned by the backpropagation algorithm.Simulations shows excellent performance of the modified neuro-fuzzy systems.

This work was partly supported by the Foundation for Polish Science (Professorial Grant 2005-2008) and the Polish Ministry of Science and Higher Education (Habilitation Project 2007-2010 Nr N N516 1155 33, Special Research Project 2006-2009, Polish-Singapore Research Project 2008-2010, Research Project 2008-2010).

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 189.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

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. Babuska, R.: Fuzzy Modeling For Control. Kluwer Academic Press, Boston (1998)

    Google Scholar 

  2. Bezdek, J.C., Pal, S.K.: Fuzzy Models for Pattern Recognition. IEEE Press, New York (1992)

    Google Scholar 

  3. Bezdek, J., Keller, J., Krisnapuram, R., Pal, N.R.: Fuzzy Models and Algorithms for Pattern Recognition and Image Processing. Kluwer Academic Press, Norwell (1999)

    MATH  Google Scholar 

  4. Bilski, J.: The UD RLS Algorithm for Training Feedforward Neural Networks. Int. J. Appl. Math. Comput. Sci. 15(1), 115–123 (2005)

    MATH  Google Scholar 

  5. Bishop, C.M.: Neural Networks for Pattern Recognition. Oxford University Press Inc., New York (1995)

    Google Scholar 

  6. Box, G.E.P., Jenkins, G.M.: Time Series Analysis, Forecasting and Control, San Francisco, Holden Day (1970)

    Google Scholar 

  7. Asuncion, A., Newman, D.J.: UCI Machine Learning Repository, University of California, School of Information and Computer Science, Irvine, CA (2007), http://www.ics.uci.edu/~mlearn/MLRepository.html

  8. Branco, P.J.C., Dente, J.A.: A Fuzzy Relational identification Algorithm and its Application to Predict the Behaviour of a Motor Drive System. Fuzzy Sets and Systems 109, 343–354 (2000)

    Article  MATH  Google Scholar 

  9. Ischibuchi, H., Nakashima, T.: Effect of Rule Weights in Fuzzy Rule-Based Classification Systems. IEEE Transactions on Fuzzy Systems 9(4), 506–515 (2001)

    Article  Google Scholar 

  10. Jang, R.J.-S., Sun, C.-T., Mizutani, E.: Neuro-Fuzzy and Soft Computing, A Computational Approach to Learning and Machine Intelligence. Prentice Hall, Upper Saddle River (1997)

    Google Scholar 

  11. Nauck, D., Klawon, F., Kruse, R.: Foundations of Neuro - Fuzzy Systems. John Wiley, Chichester (1997)

    Google Scholar 

  12. Nauck, D., Kruse, R.: How the Learning of Rule Weights Affects the Interpretability of Fuzzy Systems. In: Proceedings of 1998 IEEE World Congress on Computational Intelligence, FUZZ-IEEE, Alaska, pp. 1235–1240 (1998)

    Google Scholar 

  13. Nozaki, K., Ishibuchi, H., Tanaka, K.: A simple but powerful heuristic method for generating fuzzy rules from numerical data. Fuzzy Sets and Systems 86, 251–270 (1995)

    Article  Google Scholar 

  14. Pedrycz, W.: Fuzzy Control and Fuzzy Systems. Research Studies Press, London (1989)

    MATH  Google Scholar 

  15. Pedrycz, W., Gomide, F.: An Introduction to Fuzzy Sets, Analysis and Design. The MIT Press, Cambridge (1998)

    MATH  Google Scholar 

  16. Rutkowski, L.: Flexible Neuro Fuzzy Systems. Kluwer Academic Publishers, Dordrecht (2004)

    MATH  Google Scholar 

  17. Scherer, R., Rutkowski, L.: Relational Equations Initializing Neuro-Fuzzy System. In: 10th Zittau Fuzzy Colloquium, Zittau, Germany (2002)

    Google Scholar 

  18. Scherer, R., Rutkowski, L.: Neuro-Fuzzy Relational Systems. In: International Conference on Fuzzy Systems and Knowledge Discovery, Singapore, November 18-22 (2002)

    Google Scholar 

  19. Setness, M., Babuska, R.: Fuzzy Relational Classifier Trained by Fuzzy Clustering. IEEE Transactions on Systems, Man and Cybernetics - Part B: Cybernetics 29(5), 619–625 (1999)

    Article  Google Scholar 

  20. Sugeno, M., Yasukawa, T.: A Fuzzy-Logic-Based Approach to Qualitative Modeling. IEEE Transactions on Fuzzy Systems 1(1), 7–31 (1993)

    Article  Google Scholar 

  21. Wang, L.-X.: Adaptive Fuzzy Systems And Control. PTR Prentice Hall, Englewood Cliffs (1994)

    Google Scholar 

  22. Yager, R.R., Filev, D.P.: Essentials of Fuzzy Modeling and Control. John Wiley & Sons Inc., New York (1994)

    Google Scholar 

  23. Yager, R.R., Filev, D.P.: On a Flexible Structure for Fuzzy Systems Models. In: Yager, R.R., Zadeh, L.A. (eds.) Fuzzy Sets, Neural Networks, and Soft Computing, pp. 1–28. Van Nostrand Reinhold, New York (1994)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Leszek Rutkowski Ryszard Tadeusiewicz Lotfi A. Zadeh Jacek M. Zurada

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Scherer, R. (2008). Regression Modeling with Fuzzy Relations. In: Rutkowski, L., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds) Artificial Intelligence and Soft Computing – ICAISC 2008. ICAISC 2008. Lecture Notes in Computer Science(), vol 5097. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69731-2_31

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-69731-2_31

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-69572-1

  • Online ISBN: 978-3-540-69731-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics