Academia.eduAcademia.edu

Outline

Fuzzy rule extraction by bacterial memetic algorithms

2009

https://doi.org/10.1002/INT.20338

Abstract

In our previous papers, fuzzy model identification methods were discussed. The bacterial evolutionary algorithm for extracting fuzzy rule base from a training set was presented. The Levenberg-Marquardt method was also proposed for determining membership functions in fuzzy systems. The combination of the evolutionary and the gradient-based learning techniques is usually called memetic algorithm. In this paper, a new kind of memetic algorithm, the bacterial memetic algorithm, is introduced for fuzzy rule extraction. The paper presents how the bacterial evolutionary algorithm can be improved with the Levenberg-Marquardt technique.

References (15)

  1. Sugeno M, Yasukawa T. A fuzzy-logic-based approach to qualitative modeling. IEEE Trans Fuzzy Syst 1993;1(1):7-31.
  2. Wang LX, Mendel JM. Generating fuzzy rules by learning from examples. IEEE Trans Syst Man Cybern 1992;22(6):1414-1427.
  3. Botzheim J, Hámori B, Kóczy LT, Ruano AE. Bacterial algorithm applied for fuzzy rule extraction. In: Proc Int Conf Inform Process Manage Uncertainty Knowledge-Based Syst, IPMU 2002, Annecy, France. pp 1021-1026.
  4. Nawa NE, Furuhashi T. Fuzzy systems parameters discovery by bacterial evolutionary algorithms. IEEE Trans Fuzzy Syst 1999;7:608-616.
  5. Ruano AE, Cabrita C, Oliveira JV, Kóczy LT. Supervised training algorithms for B-spline neural networks and neuro-fuzzy systems. Int J Syst Sci 2002;33(8):689-711.
  6. Werbos P. Beyond regression: New tools for prediction and analysis in the behavioral sciences, PhD Dissertation, Committee on Applied Mathematics, Harvard University, USA, 1974.
  7. Botzheim J, Cabrita C, Kóczy LT, Ruano AE. Estimating fuzzy membership functions parameters by the Levenberg-Marquardt algorithm. In: Proc IEEE Int Conf Fuzzy Syst, FUZZ-IEEE 2004, Budapest, Hungary, 2004. pp 1667-1672.
  8. Levenberg K. A method for the solution of certain non-linear problems in least squares. Quart Appl Math 1944;2(2):164-168.
  9. Marquardt D. An algorithm for least-squares estimation of nonlinear parameters. J Soc Indust Appl Math 1963;11:431-441.
  10. Moscato P. On evolution, search, optimization, genetic algorithms and martial arts: To- wards memetic algorithms. Caltech Concurrent Computation Program, Technical Report, California, 1989.
  11. Ong YS, Keane AJ. Meta-Lamarckian learning in memetic algorithms. IEEE Trans Evol Comput 2004;8(2):99-110.
  12. Mamdani EH, Assilian S. An Experiment in linguistic synthesis with a fuzzy logic controller. Int J Man-Mach Stud 1975;7:1-13.
  13. Zadeh LA. Outline of a new approach to the analysis of complex systems and decision processes. IEEE Trans Syst Man Cybern (1973);3:28-44.
  14. Holland JH. Adaptation in natural and artificial systems: An introductory analysis with applications to biology, control, and artificial intelligence. Cambridge, UK: The MIT Press; 1992.
  15. Nawa NE, Hashiyama T, Furuhashi T, Uchikawa Y. Fuzzy logic controllers generated by pseudo-bacterial genetic algorithm. In: Proc IEEE 1997 Int Conf Neural Netw (ICNN'97), Houston, 1997. pp 2408-2413.