Skip to main content

Optimization of Self-organizing Fuzzy Polynomial Neural Networks with the Aid of Granular Computing and Evolutionary Algorithm

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4031))

Abstract

In this study, we introduce and investigate a class of intelligence architectures of Self-Organizing Fuzzy Polynomial Neural Networks (SOFPNN) that is based on a genetically optimized Fuzzy Polynomial Neurons(FPNs), develop a comprehensive design methodology involving mechanisms of genetic algorithms and information granulation. With the aid of the information granulation, we determine the initial location (apexes) of membership functions and initial values of polynomial function being used in the premised and consequence part of the fuzzy rules respectively. The GA-based design procedure being applied at each layer of SOFPNN leads to the selection of preferred nodes with specific local characteristics (such as the number of input variables, the order of the polynomial, a collection of the specific subset of input variables, and the number of membership function) available within the network.

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   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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Cherkassky, V., Gehring, Mulier, F.: Comparison of adaptive methods for function estimation from samples. IEEE Trans. Neural Networks 7, 969–984 (1996)

    Article  Google Scholar 

  2. Ivakhnenko, A.G.: Polynomial theory of complex systems. IEEE Trans. on Systems, Man and Cybernetics SMC-1, 364–378 (1971)

    Article  MathSciNet  Google Scholar 

  3. Oh, S.K., Pedrycz, W.: The design of self-organizing Polynomial Neural Networks. Information Science 141, 237–258 (2002)

    Article  MATH  Google Scholar 

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

    Article  Google Scholar 

  5. Oh, S.K., Pedrycz, W.: Fuzzy Polynomial Neuron-Based Self-Organizing Neural Networks. Int. J. of General Systems 32, 237–250 (2003)

    Article  MATH  Google Scholar 

  6. Jong, D.K.A.: Are Genetic Algorithms Function Optimizers? In: Manner, R., Manderick, B. (eds.) Parallel Problem Solving from Nature 2. North-Holland, Amsterdam (1992)

    Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  8. Bezdek, J.C.: Pattern Recognition with Fuzzy Objective Function Algorithms. Plenum, New York (1981)

    Book  MATH  Google Scholar 

  9. Box, D.E., Jenkins, G.M.: Time Series Analysis, Forecasting and Control. Holden Day, California (1976)

    MATH  Google Scholar 

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

    Article  Google Scholar 

  11. 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 Systems 115, 205–230 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  12. Kim, E.T., et al.: A simple identified Sugeno-type fuzzy model via double clustering. Information Science 110, 25–39 (1998)

    Article  Google Scholar 

  13. Lin, Y., Cunningham III, G.A.: A new approach to fuzzy-neural modeling. IEEE Trans. Fuzzy Systems 3, 190–197 (1995)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Park, HS., Oh, SK., Ahn, TC. (2006). Optimization of Self-organizing Fuzzy Polynomial Neural Networks with the Aid of Granular Computing and Evolutionary Algorithm. In: Ali, M., Dapoigny, R. (eds) Advances in Applied Artificial Intelligence. IEA/AIE 2006. Lecture Notes in Computer Science(), vol 4031. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11779568_51

Download citation

  • DOI: https://doi.org/10.1007/11779568_51

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-35453-6

  • Online ISBN: 978-3-540-35454-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics