Interpolation functions of feedforward neural networks

Computers and Mathematics with Applications

Volumn 46, Issue 12, 2003, Pages 1861-1874

  Li, Hong Xing ^a   Lee, E S ^b  

^a TSINGHUA UNIVERSITY   (China)

^b Kansas State University   (United States)

Author keywords

Fuzzy neural network; Interpolation function; Mathematical neural network; Mathematical neuron; Neural network

Indexed keywords

APPROXIMATION THEORY; CONFORMAL MAPPING; FEEDFORWARD NEURAL NETWORKS; FUZZY SETS; LEARNING ALGORITHMS; MATHEMATICAL MODELS; MATRIX ALGEBRA; OPTIMIZATION; TRANSFER FUNCTIONS; VECTORS;

FUZZY NEURAL NETWORKS; INTERPOLATION FUNCTION; MATHEMATICAL NEURAL NETWORK;

INTERPOLATION;

EID: 0345566289     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(03)90242-2     Document Type: Article

References (10)

1. J. Hertz, A. Krogh and R.G. Palmer, Introduction to the Theory of Neural Computation, Addison-Wesley, New York, (1991).
2. B. Kosko, Neural Networks and Fuzzy Systems, Prentice-Hall, Englewood Cliffs, NJ, (1992).
3. H.X. Li, Multifactorial functions in fuzzy sets theory, Fuzzy Sets and Systems 35, 69-84, (1990).
4. H.X. Li and V.C. Yen, Fuzzy Sets and Fuzzy Decision-Making, CRC Press, Boca Raton, FL, (1995).
5. H.X. Li, To see the success of fuzzy logic from mathematical essence of fuzzy control-On "The paradoxical success of fuzzy logic", Fuzzy Systems and Mathematics 9 (4), 1-14, (1995).
6. H.X. Li, Multifactorial fuzzy sets and multifactorial degree of nearness, Fuzzy Sets and Systems 19, 291-297, (1986).
7. H.X. Li, Interpolation mechanism of fuzzy control, Science in China (Series E) 41 (3), 312-320, (1998).
8. H.X. Li, Fuzzy Information Processing and Fuzzy Computers, Science Press, New York, (1997).
9. H.X. Li and C.L.P. Chen The equivalence between fuzzy logic systems and feedforward neural networks, IEEE Transactions on Neural Networks 11 (2), 356-365, (2000).
10. Y.H. Pao, Adaptive Pattern Recognition and Neural Networks, Addison-Wesley, New York, (1989).