Skip to main content

Optimization of Fuzzy Model Driven to IG and HFC-Based GAs

  • Conference paper
Adaptive and Natural Computing Algorithms (ICANNGA 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4431))

Included in the following conference series:

Abstract

The paper concerns the hybrid optimization of fuzzy inference systems that is based on Hierarchical Fair Competition-based Genetic Algorithms (HFCGA) and information data granulation. HFCGA is a kind of multi-populations of Parallel Genetic Algorithms (PGA), and it is used for structure optimization and parameter identification of fuzzy model. The granulation is realized with the aid of the Hard C-means clustering (HCM). The concept of information granulation was applied to the fuzzy model in order to enhance the abilities of structural optimization. By doing that, we divide the input space to form the premise part of the fuzzy rules and the consequence part of each fuzzy rule is newly organized based on center points of data group extracted by the HCM clustering. It concerns the fuzzy model-related parameters such as the number of input variables, a collection of specific subset of input variables, the number of membership functions, and the polynomial type of the consequence part of fuzzy rules. In the hybrid optimization process, two general optimization mechanisms are explored. The structural optimization is realized via HFCGA and HCM method whereas in case of the parametric optimization we proceed with a standard least square method as well as HFCGA method as well. A comparative analysis demonstrates that the proposed algorithm is superior to the conventional methods.

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.

Similar content being viewed by others

References

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

    Article  MATH  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

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

    MATH  Google Scholar 

  4. Sugeno, M., Yasukawa, T.: Linguistic modeling based on numerical data. In: IFSA’91, Brussels, Computer, Management & System Science, pp. 264–267 (1991)

    Google Scholar 

  5. 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 

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

    Article  Google Scholar 

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

    MATH  Google Scholar 

  8. Lin, S.C., Goodman, E., Punch, W.: Coarse-Grain Parallel Genetic Algorithms: Categorization and New Approach. In: IEEE Conf. on Parallel and Distrib. Processing (Nov. 1994)

    Google Scholar 

  9. Hu, J.J., Goodman, E.: The Hierarchical Fair Competition (HFC) Model for Parallel Evolutionary Algorithms. In: Proceedings of the 2002 Congress on Evolutionary Computation, CEC2002, Honolulu, Hawaii, IEEE Computer Society Press, Los Alamitos (2002)

    Google Scholar 

  10. Lyu, M.R.: Handbook of Software Reliability Engineering, pp. 510–514. McGraw-Hill, New York (1995)

    Google Scholar 

  11. Oh, S.K., Pderycz, W., Park, B.J.: Self-organizing neurofuzzy networks in modeling software data. Fuzzy Sets and Systems 145, 165–181 (2004)

    Article  MathSciNet  Google Scholar 

  12. Oh, S.K., Lee, I.T., Choi, J.N.: Design of Fuzzy Polynomial Neural Networks with the Aid of Genetic Fuzzy Granulation and Its Application to Multi-variable Process System. In: Wang, J., Yi, Z., Żurada, J.M., Lu, B.-L., Yin, H. (eds.) ISNN 2006. LNCS, vol. 3971, pp. 774–779. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Bartlomiej Beliczynski Andrzej Dzielinski Marcin Iwanowski Bernardete Ribeiro

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer Berlin Heidelberg

About this paper

Cite this paper

Choi, JN., Oh, SK., Hwang, HS. (2007). Optimization of Fuzzy Model Driven to IG and HFC-Based GAs. In: Beliczynski, B., Dzielinski, A., Iwanowski, M., Ribeiro, B. (eds) Adaptive and Natural Computing Algorithms. ICANNGA 2007. Lecture Notes in Computer Science, vol 4431. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71618-1_69

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-71618-1_69

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-71589-4

  • Online ISBN: 978-3-540-71618-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics