Fuzzy Systems as Universal Approximators

IEEE Transactions on Computers

Volumn 43, Issue 11, 1994, Pages 1329-1333

  Kosko, Bart ^a  

^a UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; ALGORITHMS; APPROXIMATION THEORY; COMPUTER ARCHITECTURE; CONVERGENCE OF NUMERICAL METHODS; EXPERT SYSTEMS; GEOMETRY; GRAPH THEORY; NEURAL NETWORKS; STATE SPACE METHODS; THEOREM PROVING; THREE DIMENSIONAL;

ADDITIVE FUZZY SYSTEMS; GAUSSIAN FUZZY SETS; MACHINE INTELLIGENCE; STATISTICAL CLUSTERING SYSTEMS;

FUZZY SETS;

EID: 0028532753     PISSN: 00189340     EISSN: None     Source Type: Journal    
DOI: 10.1109/12.324566     Document Type: Article

References (12)

1. J. A. Dickerson and B. Kosko, “Fuzzy Function approximation with supervised ellipsoidal learning,” in Proc. World Congress on Neural Netw. (INNS WCNN-93), vol. 2, July 1993, pp. 9-17.
2. D. Dubois and H. Prade, Fuzzy Sets and Systems: Theory and Applications. Orlando, FL: Academic Press, 1980.
3. E. Hartman, J. D. Keeler, and J. Kowalski, “Layered neural networks with gaussian hidden units as universal approximators,” Neural Computat., vol. 2, pp. 210-215, 1990.
4. K. Hornik, M. Stinchcombe, and H. White, “Multilayer feedforward networks are universal approximators,” Neural Netw., vol. 2, pp. 359-366, 1989.
5. B. Kosko, “Fuzzy knowledge combination,” Int. J. Intell. Syst., vol. 1, pp. 293-320, 1986.
6. —, “Stochastic competitive learning,” IEEE Trans. Neural Netw., vol. 2, no. 5, pp. 522-529, Sept. 1991.
7. —, Neural Networks and Fuzzy Systems: A Dynamical Systems Approach to Machine Intelligence. Englewood Cliffs, NJ: Prentice Hall, 1991.
8. C. Mead, Analog VLSI and Neural Systems. Reading, MA: Addison-Wesley, 1989.
9. W. Rudin, Functional Analysis. New York: McGraw-Hill, 1973.
10. —, Real and Complex Analysis, second ed. New York: McGraw-Hill, 1974.
11. L. Wang and J. M. Mendel, “Fuzzy basis functions, universal approximation, and orthogonal least-squares learning,” IEEE Trans. Neural Netw., vol. 3, no. 5, pp. 807-814, Sept. 1992.
12. L. A. Zadeh, “Fuzzy sets,” Inform. Contr., vol. 8, pp. 338-353, 1965.