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An Efficient Self-Organizing Deep Fuzzy Neural Network for Nonlinear System Modeling

Published: 01 July 2022 Publication History

Abstract

A fuzzy neural network (FNN) is an effective learning system that combines neural network and fuzzy logic, which has achieved great success in nonlinear system modeling. However, when the input is practical complex data with external disturbance, the existing FNN cannot extract effective input features sufficiently, leading to unsatisfactory performances in learning speed and accuracy. It also fails to achieve a better generalization capability because of its fixed structure size (the number of rule neurons). In this article, an efficient self-organizing FNN (SOFNN) with incremental deep pretraining (IDPT), called IDPT-SOFNN, is developed to overcome these shortcomings. First, IDPT is designed to extract effective features and consider them as the input of the SOFNN. Different from the existing pretraining, the self-growing structure of IDPT improves pretraining efficiency with a more compact structure. Second, the SOFNN can dynamically add and delete neurons according to the current error and error-reduction rate. In this case, it can obtain better modeling performance with a more compact structure as well. Third, as a novel hybrid model with the cascade dual-self-organizing algorithm, the IDPT-SOFNN combines the advantage of IDPT and SOFNN. Moreover, the convergence and stability are analyzed. Finally, simulation studies and comparisons demonstrate that the proposed IDPT-SOFNN has better performances than its peers in learning speed, accuracy, and generalization capability.

References

[1]
Y. Deng, Z. Ren, Y. Kong, F. Bao, and Q. Dai, “A hierarchical fused fuzzy deep neural network for data classification,”IEEE Trans. Fuzzy Syst., vol. 25, no. 4, pp. 1006–1012, Aug.2017.
[2]
Y.-m. Li, X. Min, and S. Tong, “Adaptive fuzzy inverse optimal control for uncertain strict-feedback nonlinear systems,”IEEE Trans. Fuzzy Syst., vol. 28, no. 10, pp. 2363–2374, Oct.2020.
[3]
Y. Li, K. Li, and S. Tong, “Finite-time adaptive fuzzy output feedback dynamic surface control for MIMO nonstrict feedback systems,”IEEE Trans. Fuzzy Syst., vol. 27, no. 1, pp. 96–110, Jan.2019.
[4]
H. Han and J. Qiao, “A self-organizing fuzzy neural network based on a growing-and-pruning algorithm,”IEEE Trans. Fuzzy Syst., vol. 18, no. 6, pp. 1129–1143, Dec.2010.
[5]
B. Cannas, A. Fanni, L. See, and G. Sias, “Data preprocessing for river flow forecasting using neural networks: Wavelet transforms and data partitioning,”Phys. Chem. Earth, Parts A/B/C, vol. 31, no. 18, pp. 1164–1171, 2006.
[6]
P. Hurtik, V. Molek, and J. Hula, “Data preprocessing technique for neural networks based on image represented by a fuzzy function,”IEEE Trans. Fuzzy Syst., vol. 28, no. 7, pp. 1195–1204, Jul.2020.
[7]
W. Liu, S. Liu, Q. Gu, J. Chen, X. Chen, and D. Chen, “Empirical studies of a two-stage data preprocessing approach for software fault prediction,”IEEE Trans. Rel., vol. 65, no. 1, pp. 38–53, Mar.2016.
[8]
E. B. Tirkolaee, A. Goli, and G.-W. Weber, “Fuzzy mathematical programming and self-adaptive artificial fish swarm algorithm for just-in-time energy-aware flow shop scheduling problem with outsourcing option,”IEEE Trans. Fuzzy Syst., vol. 28, no. 11, pp. 2772–2783, Nov.2020.
[9]
A. Goli, E. B. Tirkolaee, and N. S. Aydin, “Fuzzy integrated cell formation and production scheduling considering automated guided vehicles and human factors,”IEEE Trans. Fuzzy Syst., early access, Jan.22, 2021.
[10]
G. E. Hinton and R. R. Salakhutdinov, “Reducing the dimensionality of data with neural networks,” Science, vol. 313, no. 5786, pp. 504–507, 2006.
[11]
Y. LeCun, Y. Bengio, and G. Hinton, “Deep learning,”Nature, vol. 521, no. 7553, 2015, Art. no.
[12]
G. E. Hinton, S. Osindero, and Y.-W. Teh, “A fast learning algorithm for deep belief nets,”Neural Comput., vol. 18, no. 7, pp. 1527–1554, 2006.
[13]
G. Wang, J. Qiao, J. Bi, Q.-S. Jia, and M. Zhou, “An adaptive deep belief network with sparse restricted Boltzmann machines,”IEEE Trans. Neural Netw. Learn. Syst., vol. 31, no. 10, pp. 4217–4228, Oct.2020.
[14]
G. Wang, Q.-S. Jia, J. Qiao, J. Bi, and C. Liu, “A sparse deep belief network with efficient fuzzy learning framework,”Neural Netw., vol. 121, pp. 430–440, 2020.
[15]
S. Wu and M. J. Er, “Dynamic fuzzy neural networks-a novel approach to function approximation,”IEEE Trans. Syst., Man, Cybern., B, Cybern., vol. 30, no. 2, pp. 358–364, Apr.2000.
[16]
S. Wu, M. J. Er, and Y. Gao, “A fast approach for automatic generation of fuzzy rules by generalized dynamic fuzzy neural networks,”IEEE Trans. Fuzzy Syst., vol. 9, no. 4, pp. 578–594, Aug.2001.
[17]
N. Wang, M. J. Er, and X. Meng, “A fast and accurate online self-organizing scheme for parsimonious fuzzy neural networks,” Neurocomputing, vol. 72, nos. 16–18, pp. 3818–3829, 2009.
[18]
J. d. J. Rubio, “SOFMLS: Online self-organizing fuzzy modified least-squares network,”IEEE Trans. Fuzzy Syst., vol. 17, no. 6, pp. 1296–1309, Dec.2009.
[19]
N. Wang, “A generalized ellipsoidal basis function based online self-constructing fuzzy neural network,”Neural Process. Lett., vol. 34, no. 1, pp. 13–37, 2011.
[20]
H. Han, X. Wu, and J. Qiao, “Nonlinear systems modeling based on self-organizing fuzzy-neural-network with adaptive computation algorithm,”IEEE Trans. Cybern., vol. 44, no. 4, pp. 554–564, Apr.2014.
[21]
H.-G. Han, L.-D. Wang, and J.-F. Qiao, “Efficient self-organizing multilayer neural network for nonlinear system modeling,”Neural Netw., vol. 43, pp. 22–32, 2013.
[22]
Y. Zhang, H. Ishibuchi, and S. Wang, “Deep Takagi-Sugeno-Kang fuzzy classifier with shared linguistic fuzzy rules,”IEEE Trans. Fuzzy Syst., vol. 26, no. 3, pp. 1535–1549, Jun.2018.
[23]
A. A. Khater, A. M. El-Nagar, M. El-Bardini, and N. M. El-Rabaie, “Online learning of an interval type-2 TSK fuzzy logic controller for nonlinear systems,”J. Franklin Inst., vol. 356, no. 16, pp. 9254–9285, 2019.
[24]
G. Wang, Q.-S. Jia, J. Qiao, J. Bi, and M. Zhou, “Deep learning-based model predictive control for continuous stirred-tank reactor system,”IEEE Trans. Neural Netw. Learn. Syst., early access, Sep.9, 2020.
[25]
G. Wang, Q.-S. Jia, J. Qiao, M. Zhou, J. Bi, and J. Qiao, “Soft-sensing of wastewater treatment process via deep belief network with event-triggered learning,”Neurocomputing, vol. 436, no. 5, pp. 103–113, 2021.
[26]
G. Wang, J. Qiao, J. Bi, W. Li, and M. Zhou, “TL-GDBN: Growing deep belief network with transfer learning,”IEEE Trans. Autom. Sci. Eng., vol. 16, no. 2, pp. 874–885, Apr.2019.
[27]
T. Chen, I. Goodfellow, and J. Shlens, “Net2net: Accelerating learning via knowledge transfer,”Comput. Sci., 2015, arXiv:1511.05641.
[28]
X. Yu, Y. Fu, P. Li, and Y. Zhang, “Fault-tolerant aircraft control based on self-constructing fuzzy neural networks and multivariable SMC under actuator faults,”IEEE Trans. Fuzzy Syst., vol. 26, no. 4, pp. 2324–2335, Aug.2018.
[29]
N. L. Roux and Y. Bengio, “Representational power of restricted Boltzmann machines and deep belief networks,”Neural Comput., vol. 20, no. 6, pp. 1631–1649, 2008.
[30]
C. Chen and F. Y. Wang, “A self-organizing neuro-fuzzy network based on first order effect sensitivity analysis,”Neurocomputing, vol. 118, no. 11, pp. 21–32, 2013.
[31]
J. Qiao, G. Wang, W. Li, and X. Li, “A deep belief network with PLSR for nonlinear system modeling,”Neural Netw., vol. 104, pp. 68–79, 2018.
[32]
J. Qiao, G. Wang, X. Li, and W. Li, “A self-organizing deep belief network for nonlinear system modeling,”Appl. Soft Comput., vol. 65, pp. 170–183, 2018.
[33]
Y.-T. Liu, Y.-Y. Lin, S.-L. Wu, C.-H. Chuang, and C.-T. Lin, “Brain dynamics in predicting driving fatigue using a recurrent self-evolving fuzzy neural network,”IEEE Trans. Neural Netw. Learn. Syst., vol. 27, no. 2, pp. 347–360, Feb.2016.
[34]
G.-D. Wu and P.-H. Huang, “A maximizing-discriminability-based self-organizing fuzzy network for classification problems,”IEEE Trans. Fuzzy Syst., vol. 18, no. 2, pp. 362–373, Apr.2010.
[35]
Y. Bai, Y. Li, X. Wang, J. Xie, and C. Li, “Air pollutants concentrations forecasting using back propagation neural network based on wavelet decomposition with meteorological conditions,”Atmospheric Pollut. Res., vol. 7, no. 3, pp. 557–566, 2016.
[36]
E. Eslami, A. K. Salman, Y. Choi, A. Sayeed, and Y. Lops, “A data ensemble approach for real-time air quality forecasting using extremely randomized trees and deep neural networks,”Neural Comput. Appl., vol. 32, pp. 7563–7579, 2020.

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cover image IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems  Volume 30, Issue 7
July 2022
641 pages

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IEEE Press

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Published: 01 July 2022

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  • (2024)Fuzzy Machine Learning: A Comprehensive Framework and Systematic ReviewIEEE Transactions on Fuzzy Systems10.1109/TFUZZ.2024.338742932:7(3861-3878)Online publication date: 1-Jul-2024
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