Skip to main content

Optimization of Fuzzy Systems Based on Fuzzy Set Using Genetic Optimization and Information Granulation

  • Conference paper
  • 1147 Accesses

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3558))

Abstract

In this study, we propose a fuzzy inference systems based on information granulation to carry out the model identification of complex and nonlinear systems. Information granules are sought as associated collections of objects (data, in particular) drawn together by the criteria of proximity, similarity, or functionality. Information granulation realized with Hard C-Means (HCM) clustering help determine the initial parameters of fuzzy model such as the initial apexes of the membership functions and the initial values of polynomial functions being used in the premise and consequence part of the fuzzy rules. And the initial parameters are tuned effectively with the aid of the genetic algorithms and the least square method (LSM). The proposed model is evaluated with using two numerical examples and is contrasted with the performance of conventional fuzzy models in the literature.

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

Buying options

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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Zadeh, L.A.: Fuzzy sets. Information and Control 8, 338–353 (1965)

    Article  MATH  MathSciNet  Google Scholar 

  2. Tong, R.M.: Synthesis of fuzzy models for industrial processes. Int. J. Gen. Syst. 4, 143–162 (1978)

    Article  MATH  Google Scholar 

  3. Pedrycz, W.: An identification algorithm in fuzzy relational system. Fuzzy Sets Syst. 13, 153–167 (1984)

    Article  MATH  MathSciNet  Google Scholar 

  4. Pedrycz, W.: Numerical and application aspects of fuzzy relational equations. Fuzzy Sets Syst. 11, 1–18 (1983)

    Article  MATH  MathSciNet  Google Scholar 

  5. Czogola, E., Pedrycz, W.: On identification in fuzzy systems and its applications in control problems. Fuzzy Sets Syst. 6, 73–83 (1981)

    Article  Google Scholar 

  6. Takagi, T., Sugeno, M.: Fuzzy identification of systems and its applications to modeling and control. IEEE Trans. Syst. Cybern. SMC 15(1), 116–132 (1985)

    MATH  Google Scholar 

  7. Sugeno, M., Yasukawa, T.: Linguistic modeling based on numerical data. In: IFSA 1991 Brussels, Computer, Management & System Science, pp. 264–267 (1991)

    Google Scholar 

  8. Ismail, M.A.: Soft Clustering Algorithm and Validity of Solutions. In: Gupta, M.M. (ed.) Fuzzy Computing Theory, Hardware and Application, pp. 445–471. North Holland, Amsterdam (1988)

    Google Scholar 

  9. Oh, S.K., Pedrycz, W.: Identification of fuzzy systems by means of an auto-tuning algorithm and its application to nonlinear systems. Fuzzy Sets and Syst. 115(2), 205–230 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  10. Zadeh, L.A.: Toward a theory of fuzzy information granulation and its centrality in human reasoning and fuzzy logic. Fuzzy Sets and Syst. 90, 111–117 (1997)

    Article  MATH  MathSciNet  Google Scholar 

  11. Pderycz, W., Vukovich, G.: Granular neural networks. Neurocomputing 36, 205–224 (2001)

    Article  Google Scholar 

  12. Krishnaiah, P.R., Kanal, L.N. (eds.): Classification, pattern recognition, and reduction of dimensionality Handbook of Statistics, vol. 2. North-Holland, Amsterdam (1982)

    Google Scholar 

  13. Golderg, D.E.: Genetic Algorithm in search, Optimization & Machine Learning. Addison-Wesley, Reading (1989)

    Google Scholar 

  14. Sugeno, M., Yasukawa, T.: A Fuzzy-Logic-Based Approach to Qualitative Modeling. IEEE Trans. on Fuzzy systems 1(1), 7–13 (1993)

    Article  Google Scholar 

  15. Gomez Skarmeta, A.F., Delgado, M., Vila, M.A.: About the use of fuzzy clustering techniques for fuzzy model identification. Fuzzy Sets and Systems 106, 179–188 (1999)

    Article  Google Scholar 

  16. Kim, E.T., Lee, H.J., Park, M.K., Park, M.N.: A simply identified Sugeno-type fuzzy model via double clustering. Information Sciences 110, 25–39 (1998)

    Article  Google Scholar 

  17. Kim, E.T., Park, M.K., Ji, S.H., Park, M.N.: A new approach to fuzzy modeling. IEEE Trans. on Fuzzy systems 5(3), 328–337 (1997)

    Article  Google Scholar 

  18. Oh, S.K., Pedrycz, W., Park, B.J.: Polynomial Neural Networks Architecture: Analysis and Design. Computers and Electrical Engineering 29(6), 703–725 (2003)

    Article  Google Scholar 

  19. Park, B.J., Pedrycz, W., Oh, S.K.: Fuzzy Polynomial Neural Networks: Hybrid Architectures of Fuzzy Modeling. IEEE Trans. on Fuzzy Systems 10(5), 607–621 (2002)

    Article  Google Scholar 

  20. Tong, R.M.: The evaluation of fuzzy models derived from experimental data. Fuzzy Sets Syst. 13, 1–12 (1980)

    Article  Google Scholar 

  21. Xu, C.W., Zailu, Y.: Fuzzy model identification self-learning for dynamic system. IEEE Trans. on Syst. Man, Cybern. SMC 17(4), 683–689 (1987)

    Article  MATH  Google Scholar 

  22. Park, C.S., Oh, S.K., Pedrycz, W.: Fuzzy Identification by means of Auto-Tuning Algorithm and Weighting Factor. In: The Third Asian Fuzzy Systems Symposium (AFSS), pp. 701–706 (1998)

    Google Scholar 

  23. Park, B.J., Pedrycz, W., Oh, S.-K.: Identification of Fuzzy Models with the Aid of Evolutionary Data Granulation. In: IEEE Proc. Control Theory and Applications, vol. 148(05), pp. 406–418 (2001)

    Google Scholar 

  24. Park, H.S., Oh, S.K.: Rule-based Fuzzy-Neural Networks Using the Identification Algorithm of the GA Hybrid Scheme. International journal of Control, Automations, and Systems 1(1), 101–110 (2003)

    MathSciNet  Google Scholar 

  25. Park, H.S., Oh, S.K.: Fuzzy Relation-based Fuzzy Neural-Networks Using a Hybrid Identification Algorithm. International Journal of Control, Automations, and Systems 1(3), 289–300 (2003)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Oh, SK., Park, KJ., Pedrycz, W. (2005). Optimization of Fuzzy Systems Based on Fuzzy Set Using Genetic Optimization and Information Granulation. In: Torra, V., Narukawa, Y., Miyamoto, S. (eds) Modeling Decisions for Artificial Intelligence. MDAI 2005. Lecture Notes in Computer Science(), vol 3558. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11526018_31

Download citation

  • DOI: https://doi.org/10.1007/11526018_31

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-27871-9

  • Online ISBN: 978-3-540-31883-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics