A new method for constructing membership functions and fuzzy rules from training examples

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics

Volumn 29, Issue 1, 1999, Pages 25-40

  Wu, Tzu Ping ^b   Chen, Shyi Ming ^a,c  

^a IEEE

^b NATIONAL CHIAO TUNG UNIVERSITY   (Taiwan)

^c NATIONAL TAIWAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Taiwan)

Author keywords

Fuzzy learning algorithms; Fuzzy rules; Knowledge acquisition; Membership functions; Rule based systems

Indexed keywords

COMPUTER SIMULATION; FUZZY SETS; KNOWLEDGE ACQUISITION; LEARNING ALGORITHMS; LEARNING SYSTEMS; MEMBERSHIP FUNCTIONS;

SOFTWARE PACKAGE MATLAB;

EXPERT SYSTEMS;

EID: 0033078158     PISSN: 10834419     EISSN: None     Source Type: Journal    
DOI: 10.1109/3477.740163     Document Type: Article

References (41)

1. G. Beliakov, "Fuzzy sets and membership functions based on probability," Inf. Sci., vol. 91, no. 1, pp. 95-111, 1996.
2. J. C. Bezdek, Pattern Recognition with Fuzzy Objective Function Algorithms. New York: Plenum, 1981, pp. 65-86.
3. C. T. Chao, Y. J. Chen, and C. C. Teng, "Simplification of fuzzy-neural systems using similarity analysis," IEEE Trans. Syst., Man, Cybern. B, vol. 26, pp. 344-354, Apr. 1996.
4. S. M. Chen, M. S. Yeh, and P. Y. Hsiao, "A comparison of similarity measures of fuzzy values," Fuzzy Sets Syst., vol. 72, no. 1, pp. 79-89, 1995.
5. S. M. Chen, "Using fuzzy reasoning techniques for fault diagnosis of J-85 jet engines," in Proc. 3rd Nat. Conf. Science Technology National Defense, Taoyuan, Taiwan, R.O.C., 1994, vol. 1, pp. 29-34.
6. D. Dubois and H. Prade, "What are fuzzy rules and how to use them," Fuzzy Sets Syst., vol. 84, no. 2, pp. 169-185, 1996.
7. R. Fisher, "The use of multiple measurements in taxonomic problems," Ann. Eugenics, vol. 7, pp. 179-188, 1936.
8. J. Giarratano and G. Riley, Expert Systems: Principles and Programming. Boston, MA: PWS, 1994.
9. A. Grauel and H. Mackenberg, "Mathematical analysis of the Sugeno controller leading to general design rules," Fuzzy Sets Syst., vol. 85, no. 2, pp. 165-175, 1997.
10. K. Hattori and Y. Tor, "Effective algorithms for the nearest neighbor method in the clustering problem," Pattern Recognit., vol. 26, no. 5, pp. 741-746, 1993.
11. T. P. Hong and C. Y. Lee, "Induction of fuzzy rules and membership functions from training examples," Fuzzy Sets Syst., vol. 84, no. 1, pp. 33-47, 1996.
12. T. Ichimura and E. Tazaki, "Learning and extracting method for fuzzy rules using neural networks with modified structure level adaptation," in Proc. 3rd Int. Conf. Fuzzy Logic, Neural Nets, Soft Computing, Japan, 1994, pp. 87-90.
13. H. Ishibuchi and H. Tanaka, "Neural network that learn from fuzzy if-then rules," IEEE Trans. Fuzzy Syst., vol. 1, pp. 85-97, 1993.
14. J. Rudin, Principles of Mathematical Analysis. New York: McGraw-Hill, 1976.
15. N. K. Kasabov, "Learning fuzzy rules and approximate reasoning in fuzzy neural networks and hybrid systems," Fuzzy Sets Syst., vol. 82, no. 2, pp. 135-149, 1996.
16. F. Klawonn and R. Kruse, "Constructing a fuzzy controller from data," Fuzzy Sets Syst., vol. 85, no. 2, pp. 177-193, 1997.
17. G. J. Klir and B. Yuan, Fuzzy Sets and Fuzzy Logic Theory and Applications. Englewood Cliffs, NJ: Prentice-Hall, 1995.
18. Y. Kodratoff and R. S. Michalski, Machine Learning: An Artificial Intelligence Approach. San Mateo: Morgan Kaufmann, 1990, vol. 3, pp. 113-127.
19. B. Kosko, Neural Networks and Fuzzy Systems: A Dynamical Systems Approach to Machine Intelligence. Englewood Cliffs: Prentice-Hall, 1991, pp. 299-335.
20. R. Langari and L. Wang, "Fuzzy models, modular networks, and hybrid learning," Fuzzy Sets Syst., vol. 79, no. 2, pp. 141-150, 1996.
21. C. T. Lin and C. S. George Lee, "Neural-network-based fuzzy logic control and decision system," IEEE Trans. Comput., vol. 40, pp. 1320-1336, Dec. 1991.
22. _, Neural Fuzzy Systems. Englewood Cliffs, NJ: Prentice-Hall, 1996.
23. R. S. Michalski, J. G. Carbonell, and T. M. Mitchell, Machine Learning: An Artificial Intelligence Approach. Los Altos, CA: Morgan Kaufmann, 1983, vol. 1, p. 41-80.
24. R. S. Michalski, J. G. Carbonell, and T. M. Mitchell, Machine Learning: An Artificial Intelligence Approach. Los Altos, CA: Morgan Kaufmann, 1983, vol. 2, pp. 45-61.
25. R. S. Michalski and G. Tecuci, Machine Learning: A Multistrategy Approach. San Francisco, CA: Morgan Kaufmann, 1994, vol. 4.
26. K. Nozaki, H. Ishibuchi, and H. Tanaka, "A simple but powerful heuristic method for generating fuzzy rules from numerical data," Fuzzy Sets Syst., vol. 86, no. 3, pp. 251-270, 1997.
27. D. Park, A. Kandel, and G. Langholz, "Genetic-based new fuzzy reasoning models with application to fuzzy control," IEEE Trans. Syst., Man, Cybern., vol. 24, pp. 39-47, Jan. 1994.
28. P. K. Simpson, "Fuzzy min-max neural networks - Part 2: Clustering," IEEE Trans. Fuzzy Syst., vol. 1, pp. 32-45, 1993.
29. J. J. Shann and H. C. Fu, "A fuzzy neural network for rule acquiring on fuzzy control systems," Fuzzy Sets Syst., vol. 71, no. 3, pp. 345-357, 1995.
30. K. Uehara and M. Fujise, "Fuzzy inference based on families of α-level sets," IEEE Trans. Fuzzy Syst., vol. 1, pp. 111-124, 1993.
31. W. J. Wang, "New similarity measures on fuzzy sets and on elements," Fuzzy Sets Syst., vol. 85, no. 3, pp. 305-309, 1997.
32. L. X. Wang and J. M. Mendel, "Generating fuzzy rules by learning from examples," IEEE Trans. Syst., Man, Cybern., vol. 22, pp. 1414-1427, 1992.
33. L. X. Wang, Adaptive Fuzzy Systems and Control: Design and Stability Analysis. Englewood Cliffs, NJ: Prentice-Hall, 1994, pp. 27-28.
34. T. P. Wu and S. M. Chen, "A new method for constructing membership functions and fuzzy rules from numerical data," in Proc. 1997 5th Nat. Conf. Fuzzy Theory Applications, Tainan, Taiwan, R.O.C., 1997, pp. 499-504.
35. T. Takagi and M. Sugeno, "Fuzzy identification of systems and its applications to modeling and control," IEEE Trans. Syst., Man, Cybern., vol. 15, pp. 116-132, 1985.
36. R. R. Yager and D. P. Filev, Essential Fuzzy Modeling and Control. New York: Wiley, 1994.
37. V. R. Young, "Fuzzy subsethood," Fuzzy Sets Syst., vol. 77, no. 3, pp. 371-384, 1996.
38. L. A. Zadeh, "Fuzzy sets," Inf. Contr., vol. 8, pp. 338-353, 1965.
39. _, "Fuzzy logic," IEEE Comput., vol. 21, pp. 83-91, 1988.
40. _, "The concepts of a linguistic variable and its application to approximate reasoning (I)," Inf. Sci., vol. 8, pp. 199-249, 1975.
41. H. J. Zimmermann, Fuzzy Set Theory and Its Applications. Boston, MA: Kluwer-Nijhoff, 1991.