Skip to main content

Evolutionary Optimization of Fuzzy Models with Asymmetric RBF Membership Functions Using Simplified Fitness Sharing

  • Conference paper
  • First Online:
Fuzzy Sets and Systems — IFSA 2003 (IFSA 2003)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2715))

Included in the following conference series:

Abstract

A new evolutionary optimization scheme for designing a Takagi-Sugeno fuzzy model is proposed in this paper. To achieve better modeling performance, asymmetric RBF membership functions are used. Penalty function is proposed and used in the fitness function to prevent overlapping membership functions in the resulting fuzzy model. The simplified fitness sharing scheme is used to enhance the searching capability of the proposed evolutionary optimization algorithm. Some simulations are performed to show the effectiveness of the proposed algorithm.

This work is partially supported by KOSEF under the Korea-Japan basic scientific promotion program and by HWRS-ERC

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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. Y. Shi, R. Eberhart and Y. Chen, Implementation of Evolutionary Fuzzy Systems, IEEE Trans. on Fuzzy Syst., vol. 7, No. 2, (1999) 109–119

    Article  Google Scholar 

  2. Marco Russo, Genetic Fuzzy Learning, IEEE Trans. on Evolutionary Computation., vol.4, No. 3, (2000) 259–273

    Article  Google Scholar 

  3. S. J. Kang, H. S. Hwang and K. N. Woo, Evolutionary design of fuzzy rule base for nonlinear system modeling and control, IEEE Trans. Fuzzy Syst., vol. 8, (2000) 37–45

    Article  Google Scholar 

  4. T. Takagi and M. Sugeno, Fuzzy identification of systems and its applications to modeling and control, IEEE Trans. Syst., Man, Cybern., vol. 15, (1985) 116–132

    MATH  Google Scholar 

  5. Min-Soeng Kim, Sun-Gi Hong, and Ju-Jang Lee, Evolutionary design of a fuzzy system for various problems including vision based mobile robot control, Proc. 2002 IEEE/RSJ Intl. Conf. Intelligent Robots and Systems, EPFL, Lausanne, Switzerland, (2002) 1056–1061

    Google Scholar 

  6. M. Setnes and H. Roubos, GA-fuzzy modeling and classification: complexity and performance, IEEE Trans. Fuzzy Syst., vol. 8, (2000) 509–522

    Article  Google Scholar 

  7. Min-Soeng Kim and Ju-Jang Lee, Evolutionary design of Takagi-Sugeno type fuzzy model for nonlinear system identification and time series prediction, Proc. the Int’l Conf. on Control, Automation and Systems, Oct. Cheju Univ. Korea, (2001) 667–670

    Google Scholar 

  8. B. Sareni and L. Krähenbühl, Fitness sharing and niching methods revisited, IEEE Trans. on EC, vol. 2, no. 3, (1998) 97–106

    Google Scholar 

  9. Michalewicz, Z.: Genetic Algorithms + Data Structures = Evolution Programs. 3rd edn. Springer-Verlag, Berlin Heidelberg New York (1996)

    MATH  Google Scholar 

  10. M. Gen and R. Cheng, Genetic algorithms & enginerring optimization, John Wiley & Sons, Inc., (2000)

    Google Scholar 

  11. J. Yen and L. Wang, Simplifying fuzzy rule-based models using orthogonal transformation methods, IEEE Trans. Syst., Man, Cybern., pt, B, vol. 29, (1999) 13–24

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Kim, MS., Kim, CH., Lee, JJ. (2003). Evolutionary Optimization of Fuzzy Models with Asymmetric RBF Membership Functions Using Simplified Fitness Sharing. In: Bilgiç, T., De Baets, B., Kaynak, O. (eds) Fuzzy Sets and Systems — IFSA 2003. IFSA 2003. Lecture Notes in Computer Science, vol 2715. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44967-1_75

Download citation

  • DOI: https://doi.org/10.1007/3-540-44967-1_75

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40383-8

  • Online ISBN: 978-3-540-44967-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics