The optimal rule structure for Fuzzy systems in function approximation by hybrid approach in learning process

2008 International Conference on Computational Intelligence for Modelling Control and Automation, CIMCA 2008

Volumn , Issue , 2008, Pages 1211-1216

  Nguyen, Thi ^a   Gordon Brown, Lee ^b   Peterson, Jim ^a  

^a Centre for GIS

^b MONASH UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTION APPROXIMATION; GRADIENT DESCENT ALGORITHMS; HYBRID APPROACH; IF-THEN RULES; LEARNING PROCESS; STANDARD ADDITIVE MODEL;

ARTIFICIAL INTELLIGENCE; FUZZY RULES; FUZZY SYSTEMS; OPTIMIZATION;

FUZZY LOGIC;

EID: 70449570522     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CIMCA.2008.40     Document Type: Conference Paper

References (20)

1. D. Beasley, D.R. Bull, and R.R Martin, "An overview of genetic algorithms: Part 1, fundamentals", Univ. Comput., vol. 15, 1993, pp.58-69.
2. J.C. Bezdek, E.C. Tsao and N.R. Pal, "Fuzzy Kohonen clustering networks", IEEE Int. Conf. on Fuzzy System, San Diego, 1992, pp. 1035-1041.
3. E. K. Burke, and D. Varley, "A Genetic Algorithm Tutorial Tool for Numerical Function Optimisation". Proceedings of the ACM Conference on Intergrating Technology into Computer Science Education, Uppsala, Sweden, 1997, pp.27-30.
4. J.A. Dickerson and B. Kosko, "Fuzzy function approximation with supervised ellipsoidal learning", World Congress on Neural Networks, vol. 2, 1993, pp. 9- 13.
5. J.A. Dickerson and B. Kosko, "Fuzzy function approximation with ellipsoidal rules", IEEE Transactions Systems, Man, and Cybernetics, vol. 26, no. 4, 1996, pp. 542-560.
6. D.E. Goldberg, Genetic Algorithms in Search, Optimization, and Machine Learning, Addison Wesley, Massachusetts, USA, 1989.
7. D.E. Goldberg and M. Rudnick, "Genetic algorithms and the variance of fitness", Complex Syst., vol 5, 1991, pp.265-278.
8. D.E. Goldberg, K. Deb, and J.H. Clark, "Genetic algorithms, noise, and the sizing of populations", Complex Syst., vol. 6, 1992, pp.333-362.
9. J.H. Holland, "Adaptation in Natural and Artificial Systems", The University of Michigan Press, Ann Arbor, USA, 1975.
10. G.J. Klir and B. Yuan, Fuzzy Sets and Fuzzy Logic: Theory and Applications, Prentice Hall, Upper Saddle River, NJ, USA, 1995.
11. B. Kosko, "Fuzzy systems as universal approximators", IEEE Transactions on Computers, vol. 43, no. 11, 1994, pp. 1329-1333.
12. B. Kosko, "Optimal fuzzy rules cover extrema". International Journal of Intelligent Systems, vol. 10, no. 2, 1995, pp. 249-255.
13. B. Kosko, "Global stability of generalized additive fuzzy systems", IEEE Transactions on Systems, Man, and Cybernetics, vol. 28, no. 3, 1998, pp. 441-452.
14. J. MacQueen, "Some methods for classification and analysis of multivariate observations", 5th Berkeley Symp. Of Mathematical Statistics and Probability, 1967, pp. 281-297.
15. S. Mitaim and B. Kosko, "What is the best shape for a fuzzy set in function approximation?", Proceeding of the 5th IEEE International Conference on Fuzzy Systems, vol. 2, 1996, pp. 1237-1243.
16. S. Mitaim and B. Kosko, "Adaptive joint fuzzy sets for function approximation", Proceeding of IEEE International Conference on Neural Networks, vol. 1, 1997, pp. 537-542.
17. S. Mitaim and B. Kosko, "The shape of fuzzy sets in adaptive function approximation", IEEE Transactions on Fuzzy Systems, vol. 9, no. 4, 2001, pp. 637-656.
18. N.R. Pal, J.C. Bezdek and E.C. Tsao, "Generalized clustering networks and kohonen's self-organizing scheme", IEEE Transactions Neural Networks, vol. 4, 1993, pp. 549-557.
19. N. Qian, "On the momentum term in gradient descent learning algorithms", Neural networks, vol. 12, 1999, pp. 145-151.
20. M. Sugeno and T. Yasukawa, "A fuzzy-logic-based approach to qualitative modeling", IEEE Transactions Systems, vol. 1, 1993, pp. 7-31.