Skip to main content

An Application of Weighted Triangular Norms to Complexity Reduction of Neuro-fuzzy Systems

  • 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 we develop a new method for designing and reduction of neuro-fuzzy systems. The method is based on the concept of the weighted triangular norms. In subsequent stages we reduce number of inputs, number of rules and number of antecedents. Simulation results are given.

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. Alonso, J.M., Cordon, O., Guillaume, S., Magdalena, L.: Highly Interpretable Linguistic Knowledge Bases Optimization: Genetic Tuning versus Solis-Wetts. Looking for a good interpretability-accuracy trade-off. In: Proc. of the 2007 IEEE Int. Conf. on Fuzzy Systems, pp. 1–6 (2007)

    Google Scholar 

  2. Amaral, T.G., Crisostomo, M.M.: An Approach to Improve the Interpretability of Neuro-Fuzzy Systems. In: Proc. of the 2006 IEEE Int. Conf. on Fuzzy Systems, pp. 1843–1850 (2006)

    Google Scholar 

  3. Casillas, J., Cordon, O., Herrera, F., Magdalena, L. (eds.): Interpretability Issues in Fuzzy Modeling. Springer, Heidelberg (2003)

    MATH  Google Scholar 

  4. Czabanski, R.: Neuro-Fuzzy Modelling Based on a Deterministic Annealing Approach. Int. J. Appl. Math. Comput. Sci. 15(4), 561–576 (2005)

    MATH  MathSciNet  Google Scholar 

  5. Czogała, E., Łȩski, J.: Fuzzy and Neuro-Fuzzy Intelligent Systems. Physica-Verlag, Heidelberg (2000)

    Google Scholar 

  6. Gorzałczany, M.: Computational Intelligence Systems and Applications: Neuro-Fuzzy and Fuzzy Neural Synergisms. Springer, Heidelberg (2002)

    Google Scholar 

  7. Guillaume, S.: Designing fuzzy inference systems from data: An interpretability-oriented review. IEEE Trans. Fuzzy Syst. 9(3), 426–443 (2001)

    Article  MathSciNet  Google Scholar 

  8. Kumar, M., Stoll, R., Stoll, N.: A robust design criterion for interpretable fuzzy models with uncertain data. IEEE Trans. Fuzzy Syst. 14(2), 314–328 (2006)

    Article  Google Scholar 

  9. Łȩski, J., Henzel, N.: A Neuro-Fuzzy System Based on Logical Interpretation of If-then Rules. Int. J. Appl. Math. Comput. Sci. 10(4), 703–722 (2000)

    Google Scholar 

  10. Łȩski, J.: A Fuzzy If-Then Rule-Based Nonlinear Classifier. Int. J. Appl. Math. Comput. Sci. 13(2), 215–223 (2003)

    MathSciNet  Google Scholar 

  11. Manley-Cooke, P., Razaz, M.: An efficient approach for reduction of membership functions and rules in fuzzy systems. In: Proc. of the 2007 IEEE Int. Conf. on Fuzzy Systems, pp. 1–6 (2007)

    Google Scholar 

  12. Riid, A., Rustern, E.: Interpretability of Fuzzy Systems and Its Application to Process Control. In: Proc. of the 2007 IEEE Int. Conf. on Fuzzy Systems, pp. 1–6 (2007)

    Google Scholar 

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

    MATH  Google Scholar 

  14. Rutkowski, L., Cpałka, K.: Flexible neuro-fuzzy systems. IEEE Trans. Neural Networks 14(3), 554–574 (2003)

    Article  Google Scholar 

  15. Yager, R.R., Filev, D.P.: Essentials of fuzzy modelling and control. John Wiley & Sons, Chichester (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

Cpalka, K., Rutkowski, L. (2008). An Application of Weighted Triangular Norms to Complexity Reduction of Neuro-fuzzy Systems. 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_21

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-69731-2_21

  • 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