Cascaded centralized TSK fuzzy system: Universal approximator and high interpretation

Applied Soft Computing Journal

Volumn 5, Issue 2, 2005, Pages 131-145

  Wang, Shitong ^a,b   Chung, F L ^b   HongBin, Shen ^a   Dewen, Hu ^c  

^a JIANGNAN UNIVERSITY   (China)

^b HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

^c NATIONAL UNIVERSITY OF DEFENSE TECHNOLOGY   (China)

Author keywords

Fuzzy system; Interpretation; Universal approximation

Indexed keywords

APPROXIMATION THEORY; DATA REDUCTION; FORMAL LOGIC; KNOWLEDGE BASED SYSTEMS; LEARNING ALGORITHMS; MATHEMATICAL MODELS; NEURAL NETWORKS;

FUZZY SYSTEMS; INTERPRETATION; SYLLOGISTIC FUZZY REASONING; UNIVERSAL APPROXIMATION;

FUZZY SETS;

EID: 10844255600     PISSN: 15684946     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.asoc.2004.03.014     Document Type: Article

References (25)

1. J.C. Duan, F.L. Chung, Cascaded fuzzy neural network model based on syllogistic fuzzy reasoning, IEEE Trans. Fuzzy Syst. 9 (2) (2001) 293-306.
2. F.L. Chung, J.C. Duan, On multistage fuzzy neural network modeling, IEEE Trans. Fuzzy Syst. 8 (2) (2000) 125-142.
3. G.C. Mouzouris, J.M. Mendel, Nonsingleton fuzzy logic systems: theory and applications, IEEE Trans. Fuzzy Syst. 5 (1) (1997) 56-69.
4. S. Wang, Neural-Fuzzy Systems and their Applications, Publishing House of Beijing Aeronautical University, Beijing, 1998.
5. F.L. Chung, T. Lee, Analytical resolution and numerical identification of fuzzy relational system, IEEE Trans. Syst. Man Cybern. B 28 (1998) 919-924.
6. F.L. Chung, T. Lee, Fuzzy competitive learning, Neural Networks 7 (3) (1994) 539-552.
7. M.M. Gupta, D.H. Rao, On principles of fuzzy neural networks, Fuzzy Sets Syst. 61 (1994) 1-18.
8. J.S. Jang, ANFIS: adaptive-network-based fuzzy inference system, IEEE Trans. Syst. Man Cybern. 23 (1993) 665-684.
9. L.X. Wang, A course in Fuzzy Systems and Control, Prentice Hall, Upper Saddle River, NJ, 1997.
10. L.A. Zadeh, Syllogistic reasoning in fuzzy logic and its application to usuality and reasoning with dispositions, IEEE Trans. Syst. Man Cybern. 15 (1985) 755-763.
11. H. Madea, An investigation on the spread of fuzziness in multi-fold multi-stage approximate reasoning using particular t-norm, Fuzzy Sets Syst. 80 (1996) 133-148.
12. D. Driankov, H. Hellendoorn, Chaining of fuzzy IF-THEN rules in Mamdani-controllers, in: Proceedings of the IEEE International Conference Fuzzy systems, Yokohama, Japan, 1995, pp. 103-108.
13. K. Uehera, M. Fujise, Multi-stage fuzzy inference formulated as linguistic-truth-value propagation and its learning algorithm based on back-propagation, IEEE Trans. Fuzzy Syst. 1 (1993) 205-221.
14. A.S. Alfuhaid, M.A. El-sayed, M.S. Mahmoud, Cascaded artificial neural networks for short-term load forecasting, IEEE Trans. Power Syst. 12 (1997) 1524-1529.
15. N.N. Karnik, J.M. Mendel, Q. Liang, Type-2 fuzzy logic system, IEEE Trans. Fuzzy Syst. 7 (1999) 643-658.
16. L.X. Wang, Universal approximation by hierarchical fuzzy systems, Fuzzy Sets Syst. 93 (1998) 223-230.
17. C.T. Lin, C.S.G. Lee, Neural-network-based fuzzy logic control and decision system, IEEE Trans. Comput. 40 (12) (1991) 933-940.
18. S. Wang, F.L. Chung, New cascaded fuzzy system (CFS) and its robust analysis based on syllogistic fuzzy reasoning, Chin. J. Electron. 21 (2) (2004) 116-126.
19. O. Cordon, F. Herrera, I. Zwir, Linguistic modeling by hierarchical systems of linguistic rules, IEEE Trans. Fuzzy Syst. 10 (1) (2002) 2-20.
20. M. Bikdash, A highly interpretable form of Sugeno inference systems, IEEE Trans. Fuzzy Syst. 7 (6) (1999) 686-696.
21. Y. Jin, Fuzzy modeling of high-dimensional systems: complexity reduction and interpretability improvement, IEEE Trans. Fuzzy Syst. 8 (2) (2000) 212-221.
22. B. Kosko, Fuzzy Engineering, Prentice Hall, New Jersey, 1997.
23. L.X. Wang, J.M. Mendel, Fuzzy basis functions, universal approximation, and orthogonal least-squares learning, IEEE Trans. Neural Networks 3 (5) (1992) 807-814.
24. M. Alata, C. Su, K. Demirli, Adaptive control of a class of nonlinear systems with a first-order parameterized Sugeno fuzzy approximator, IEEE Trans. Syst. Man Cybern. C 31 (3) (2001) 410-419.
25. M. Landajo, M.J. Rio, R. Perez, A note on smooth approximation capabilities of fuzzy systems, IEEE Trans. Fuzzy Syst. 9 (2) (2001) 229-237.