The equivalence between fuzzy logic systems and feedforward neural networks

IEEE Transactions on Neural Networks

Volumn 11, Issue 2, 2000, Pages 356-365

  Li, Hong Xing ^a,b   Chen, C L Philip ^c  

^a BEIJING NORMAL UNIVERSITY   (China)

^b WRIGHT STATE UNIVERSITY   (United States)

^c Wright State University   (United States)

Author keywords

Equivalence on fuzzy logic systems; Feedforward neural networks; Fuzzy logic systems; Interpolation representation; Rectangular wave neural networks

Indexed keywords

FUZZY SETS; INTERPOLATION; MATHEMATICAL MODELS;

FUZZY LOGIC SYSTEMS; RECTANGULAR WAVE NEURAL NETWORKS;

FEEDFORWARD NEURAL NETWORKS;

EID: 0033732353     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/72.839006     Document Type: Article

References (16)

1. H.-X. Li, "The mathematical essence of fuzzy controls and fine fuzzy controllers," in Advances in Machine Intelligence and Soft-Computing, P. P. Wang, Ed. Durham, NC: Bookwright, 1997, vol. IV, pp. 55-74.
2. W. A. Farag, V. H. Quintana, and G. Lambert-Torres, "A genetic-based neuro-fuzzy approach for modeling and control of dynamical systems," IEEE Trans. Neural Networks, vol. 9, pp. 756-767, 1998.
3. C. T. Lin and C. S. G. Lee, Neural Fuzzy Systems: A Neural-Fuzzy Synergism to Intelligent Systems. Englewood Cliffs, NJ: Prentice-Hall, 1996.
4. M. Mizumoto, "The improvement of fuzzy control algorithm, part 4: (+.•)-centroid algorithm," in Proc. Fuzzy Syst. Theory, vol. 9, 1990, p. 9. (in Japanese).
5. P. Z. Wang and H.-X. Li, Fuzzy Information Processing and Fuzzy Computers. New York: Science, 1997.
6. T. Terano, K. Asai, and M. Sugeno, Fuzzy Systems Theory and Its Applications. New York: Academic, 1992.
7. M. Sugeno, Fuzzy Control (in Japanese). Tokyo, Japan: Japan Ind. Press, 1988.
8. T. Takagi and M. Sugeno, "Fuzzy identification of systems and its applications to modeling and control," IEEE Trans. Syst., Man, Cybern., vol. SMC-15, pp. 1-116, 1985.
9. H.-X. Li, "Multifactorial functions in fuzzy sets theory," Fuzzy Sets Syst., vol. 35, pp. 69-84, 1990.
10. B. Kosko, Neural Networks and Fuzzy Systems. Englewood Cliffs, NJ: Prentice-Hall, 1992.
11. M. Brown and C. Harris, Neurofuzzy Adaptive Modeling and Control. Englewood Cliffs, NJ: Prentice-Hall, 1994.
12. J.-S. R. Jang and C.-T. Sun, "Functional equivalence between radial basis function networks and fuzzy inference systems," IEEE Trans. Neural Networks, vol. 4, pp. 156-159, 1993.
13. D. Nauck, F. Klawonn, and R. Kruse, Neuro-Fuzzy Systems. New York: Wiley, 1997.
14. L. H. Tsoukalas and R. E. Uhrig, Fuzzy and Neural Approaches in Engineering. New York: Wiley, 1997.
15. J.-S. R. Jang, C.-T. Sun, and E. Mizutani, Neuro-Fuzzy and Soft Computing. Englewood Cliffs, NJ: Prentice-Hall, 1997.
16. J. J. Buckley, Y. Hayashi, and E. Czogala, "On the equivalence of neural nets and fuzzy expert systems," Fuzzy Sets Syst., vol. 53, pp. 129-134, 1993.