|Table of Contents|

[1] Zhu Hongxia, Shen Jiong, Su Zhigang, et al. RBF neural network regression modelbased on fuzzy observations [J]. Journal of Southeast University (English Edition), 2013, 29 (4): 400-406. [doi:10.3969/j.issn.1003-7985.2013.04.009]
Copy

RBF neural network regression modelbased on fuzzy observations()
Share:

Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:
29
Issue:
2013 4
Page:
400-406
Research Field:
Automation
Publishing date:
2013-12-20

Info

Title:
RBF neural network regression modelbased on fuzzy observations
Author(s):
Zhu Hongxia1 2 Shen Jiong1 Su Zhigang1
1School of Energy and Environment, Southeast University, Nanjing 210096, China
2School of Energy and Power Engineering, Nanjing Institute of Technology, Nanjing 211167, China
Keywords:
radial basis function neural network(RBFNN) fuzzy membership function imprecise observation regression model
PACS:
TP183
DOI:
10.3969/j.issn.1003-7985.2013.04.009
Abstract:
A fuzzy observations-based radial basis function neural network(FORBFNN)is presented for modeling nonlinear systems in which the observations of response are imprecise but can be represented as fuzzy membership functions. In the FORBFNN model, the weight coefficients of nodes in the hidden layer are identified by using the fuzzy expectation-maximization(EM)algorithm, whereas the optimal number of these nodes as well as the centers and widths of radial basis functions are automatically constructed by using a data-driven method. Namely, the method starts with an initial node, and then a new node is added in a hidden layer according to some rules. This procedure is not terminated until the model meets the preset requirements. The method considers both the accuracy and complexity of the model. Numerical simulation results show that the modeling method is effective, and the established model has high prediction accuracy.

References:

[1] Cheng C B, Lee E S. Fuzzy regression with radial basis function network[J]. Fuzzy Sets and Systems, 2001, 119(2): 291-301.
[2] Lu S W, Basar T. Robust nonlinear system identification using neural-network models[J]. IEEE Transactions on Neural Networks, 1998, 9(3): 407-429.
[3] Li Y, Qiang S, Zhuang X, et al. Robust and adaptive backstepping control for nonlinear systems using RBF neural networks[J]. IEEE Transactions on Neural Networks, 2004, 15(3): 693-701.
[4] Panda S S, Chakraborty D, Pal S K. Flank wear prediction in drilling using back propagation neural network and radial basis function network[J]. Applied Soft Computing, 2008, 8(2): 858-871.
[5] Rivas V M, Merelo J J, Castillo P A, et al. Evolving RBF neural networks for time-series forecasting with EvRBF[J]. Information Sciences, 2004, 165(3/4): 207-220.
[6] Wei H K, Song W Z, Li Q. A RBF network based online modeling method for real-time cost model in power plant[J]. Proceedings of the CSEE, 2004, 24(7): 246-252.(in Chinese)
[7] Kumar R, Ganguli R, Omkar S N. Rotorcraft parameter estimation using radial basis function neural network[J]. Applied Mathematics and Computation, 2010, 216(2): 584-597.
[8] Dempster A P, Laird N M, Rubin D B. Maximum likelihood from incomplete data via EM algorithm[J]. Journal of the Royal Statistical Society B, 1977, 39(1): 1-38.
[9] Denoeux T. Maximum likelihood estimation from fuzzy data using the EM algorithm[J]. Fuzzy Sets and Systems, 2011, 183(1): 72-91.
[10] Zadeh L A. Probability measures of fuzzy events[J]. Journal of Mathematical Analysis and Applications, 1968, 23(2): 421-427.
[11] Hoppner F, Klawonn F. Improved fuzzy partitions for fuzzy regression model[J]. International Journal of Approximate Reasoning, 2003, 32(2/3): 85-102.

Memo

Memo:
Biographies: Zhu Hongxia(1980—), female, graduate; Shen Jiong(corresponding author), male, doctor, professor, shenj@seu.edu.cn.
Foundation items: The National Natural Science Foundation of China(No.51106025, 51106027, 51036002), Specialized Research Fund for the Doctoral Program of Higher Education(No.20130092110061), the Youth Foundation of Nanjing Institute of Technology(No.QKJA201303).
Citation: Zhu Hongxia, Shen Jiong, Su Zhigang. RBF neural network regression model based on fuzzy observations[J].Journal of Southeast University(English Edition), 2013, 29(4):400-406.[doi:10.3969/j.issn.1003-7985.2013.04.009]
Last Update: 2013-12-20