DOI QR코드

DOI QR Code

The Design of Adaptive Fuzzy Polynomial Neural Networks Architectures Based on Fuzzy Neural Networks and Self-Organizing Networks

퍼지뉴럴 네트워크와 자기구성 네트워크에 기초한 적응 퍼지 다항식 뉴럴네트워크 구조의 설계

  • Park, Byeong-Jun (Dept.of Electric Electronics Information Engineering, Wonkwang University) ;
  • Oh, Sung-Kwun (Dept.of Electric Electronics Information Engineering, Wonkwang University) ;
  • Jang, Sung-Whan (Dept.of Electric Electronics Information Engineering, Wonkwang University)
  • 박병준 (원광대학교 전기전자 및 정보공학부) ;
  • 오성권 (원광대학교 전기전자 및 정보공학부) ;
  • 장성환 (원광대학교 전기전자 및 정보공학부)
  • Published : 2002.02.01

Abstract

The study is concerned with an approach to the design of new architectures of fuzzy neural networks and the discussion of comprehensive design methodology supporting their development. We propose an Adaptive Fuzzy Polynomial Neural Networks(APFNN) based on Fuzzy Neural Networks(FNN) and Self-organizing Networks(SON) for model identification of complex and nonlinear systems. The proposed AFPNN is generated from the mutually combined structure of both FNN and SON. The one and the other are considered as the premise and the consequence part of AFPNN, respectively. As the premise structure of AFPNN, FNN uses both the simplified fuzzy inference and error back-propagation teaming rule. The parameters of FNN are refined(optimized) using genetic algorithms(GAs). As the consequence structure of AFPNN, SON is realized by a polynomial type of mapping(linear, quadratic and modified quadratic) between input and output variables. In this study, we introduce two kinds of AFPNN architectures, namely the basic and the modified one. The basic and the modified architectures depend on the number of input variables and the order of polynomial in each layer of consequence structure. Owing to the specific features of two combined architectures, it is possible to consider the nonlinear characteristics of process system and to obtain the better output performance with superb predictive ability. The availability and feasibility of the AFPNN are discussed and illustrated with the aid of two representative numerical examples. The results show that the proposed AFPNN can produce the model with higher accuracy and predictive ability than any other method presented previously.

Keywords

References

  1. H. Takagi and I. Hayashi, 'NN-driven fuzzy reasoning,' Int. J. of Approximate Reasoning, vol. 5, no. 3, pp. 191-212, 1991 https://doi.org/10.1016/0888-613X(91)90008-A
  2. S. Horikawa, T. Furuhashi, and Y. Uchigawa, 'On fuzzy modeling using fuzzy neural networks with the back propagation algorithm,' IEEE trans. Neural Networks, vol. 3, no. 5, pp. 801-806, 1992 https://doi.org/10.1109/72.159069
  3. N. Imasaki, J. Kiji, and T. Endo, 'A fuzzy rule structured neural networks,' Journal of Japan Society for Fuzzy Theory and Systems, vol. 4, no. 5, pp. 985-995, 1992(in Japanese) https://doi.org/10.3156/jfuzzy.4.5_985
  4. H. Nomura and Wakami, 'A self-tuning method of fuzzy control by descent methods,' 4th IFSA World Conference, pp. 155-159, 1991
  5. 오성권, 김동원, 박병준, '다항식 뉴럴네트워크 구조의 최적 설계에 관한 연구,' 대한전기학회논문지, 제49D권, 제3호, pp. 145-156, 2000
  6. S. K. Oh and W. Pedrycz, 'The design of self-organizing polynomial neural networks,' Information Sciences, 2002(to appear), https://doi.org/10.1016/S0020-0255(02)00175-5
  7. T. Yamakawa, 'A new effective learning algorithm for a neo fuzzy neuron model,' 5th IFSA World Conference, pp. 1017-1020, 1993
  8. 오성권. 윤기찬, 김현기, '유전자 알고리즘과 합성 성능지수에 의한 최적 퍼지-뉴럴 네트워크 구조의 설계,' 제어.자동화.시스템공학논문지, 제6권, 제3호, pp. 273-283, 2000
  9. B. J. Park, W. Pedrycz, and S. K. Oh, 'Fuzzy polynomial neural networks: hybrid architectures of fuzzy modeling,' IEEE Trans. on Fuzzy Systems, 2002(to appear) https://doi.org/10.1109/TFUZZ.2002.803495
  10. A. G. Ivahnenko, 'The group method of data handling : a rival of method of stochastic approximation,' Soviet Automatic Control, vol. 13, no. 3, pp. 43-55, 1968
  11. M. Sugeno and T. Yasukawa, 'A fuzzy-logic-based approach to qualitative modeling,' IEEE Trans. on Fuzzy Systems, vol. 1, no. 1, pp. 7-31, 1993 https://doi.org/10.1109/TFUZZ.1993.390281
  12. A. F. Gomez-Skarmeta, M. Delgado, and M. A. Vila, 'About the use of fuzzy clustering techniques for fuzzy model identification,' Fuzzy Sets and Systems, vol. 106, pp. 179-188, 1999 https://doi.org/10.1016/S0165-0114(97)00276-5
  13. E. T. Kim, M. K. Park, S. H. Ji, and M. Park, 'A new approach to fuzzy modeling,' IEEE Trans. on Fuzzy Systems, vol. 5, no. 3, pp. 328-337, 1997 https://doi.org/10.1109/91.618271
  14. E. Kim, H. Lee, M. Park, and M. Park, 'A simply identified Sugeno-type fuzzy model via double clustering,' Information Sciences, vol. 110, pp. 25-39, 1998 https://doi.org/10.1016/S0020-0255(97)10083-4
  15. G. E. Box and G. M. Jenkins, Time Series Analysis : Forecasting and Control, Holden-day, 1970
  16. Y. Lin, G. A. Cunningham III, 'A new approach to fuzzyneural modeling,' IEEE Trans. Fuzzy Systems, vol. 3, no. 2, pp. 190-197, 1995 https://doi.org/10.1109/91.388173
  17. S. K. Oh and W. Pedrycz, 'Fuzzy identification by means of auto-tuning algorithm and its application to nonlinear system,' Fuzzy Sets and Syst., vol. 115, no. 2, pp. 205-230, 2000 https://doi.org/10.1016/S0165-0114(98)00174-2
  18. 박병준, 오성권, 안태천, 김현기, '유전자 알고리즘과 하중값을 이용한 퍼지 시스템의 최적화,' 대한전기학회논문지, 제48A권, 제6호, pp. 789-799, 1999
  19. 오성권, 박병준, 박춘성, '적응 퍼지-뉴럴네트워크를 이용한 비선형 공정의 온-라인 모델링,' 대한전기학회논문지, 제48A권, 제10호, pp. 1293-1302, 1999
  20. David E. Goldberg, Genetic Algorithms in search, Optimizaion & Machine Learning, Addison-wesley, 1989
  21. Zbigniwe Michalewicz, Genetic Algorithms+Data Structure=Evolution Programs, Springer-Verlag, 1992
  22. B. J. Park, W. Pedrycz, and S. K. Oh, 'Identification of fuzzy models with the aid of evolutionary data granulation,' IEE Proc.-CTA, vol. 148, Issue 05, pp. 406-418, 2001 https://doi.org/10.1049/ip-cta:20010677