Skip to main content

Hybrid Generalized Additive Wavelet-Neuro-Fuzzy-System and Its Adaptive Learning

  • Conference paper
  • First Online:
Dependability Engineering and Complex Systems (DepCoS-RELCOMEX 2016)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 470))

Included in the following conference series:

Abstract

In the paper, a new hybrid generalized additive wavelet-neuro-fuzzy-system of computational intelligence and its learning algorithms are proposed. This system combines the advantages of neuro-fuzzy system of Takagi-Sugeno-Kang, wavelet neural networks and generalized additive models of Hastie-Tibshirani. The proposed system has universal approximation properties and learning capabilities which pertain to the neural networks and neuro-fuzzy systems; interpretability and transparency of the obtained results due to the soft computing systems; possibility of effective description of local signal and process features due to the application of systems based on wavelet transform; simplicity and speed of learning process due to generalized additive models. The proposed system can be used for solving a wide class of dynamic data mining tasks, which are connected with non-stationary, nonlinear stochastic and chaotic signals. Such a system is sufficiently simple in numerical implementation and is characterized by a high speed of learning and information processing.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Rutkowski, L.: Computational Intelligence: Methods and Techniques. Springer, Berlin (2008). http://www.springer.com/us/book/9783540762874

    Google Scholar 

  2. Du, K.-L., Swamy, M.N.S.: Neural Networks and Statistical Learning. Springer, London (2014). http://www.springer.com/us/book/9781447155706

    Google Scholar 

  3. Mumford, C.L., Jain, L.C.: Computational Intelligence Collaboration, Fusion and Emergence. Springer, Berlin (2009). http://www.springer.com/us/book/9783642017988

  4. Lughofer, E.: Evolving Fuzzy Systems—Methodologies, Advanced Concepts and Applications. Springer (2011). http://www.springer.com/us/book/9783642180866

  5. Aggarwal, C.: Data Streams: Models and Algorithms (Advances in Database Systems). Springer (2007). http://www.springer.com/us/book/9780387287591

  6. Bifet, A.: Adaptive Stream Mining: Pattern Learning and Mining from Evolving Data Streams. IOS Press, Amsterdam (2010). http://www.iospress.nl/book/adaptive-stream-mining-pattern-learning-and-mining-from-evolving-data-streams/

  7. Sunil, E.V.T., Yung, CSh: Radial basis function neural network for approximation and estimation of nonlinear stochastic dynamic systems. IEEE Trans. Neural Netw. 5, 594–603 (1994)

    Article  Google Scholar 

  8. Bugmann, G.: Normalized Gaussian radial basis function networks. Neurocomputing 20(1–3), 97–110 (1998)

    Article  Google Scholar 

  9. Specht, D.F.: A general regression neural network. IEEE Trans. Neural Networks 2(6), 568–576 (1991)

    Article  Google Scholar 

  10. Nelles O.: Nonlinear System Identification. Springer, Berlin (2001). http://www.springer.com/jp/book/9783540673699

    Google Scholar 

  11. Zahirniak, D., Chapman, R., Rogers, S., Suter, B., Kabritsky, M., Piati, V.: Pattern recognition using radial basis function network. In: 6th Annual Aerospace Application of Artificial Intelligence Conference, pp. 249–260, Dayton, OH (1990)

    Google Scholar 

  12. Jang, J.-S.R., Sun, C.T., Mizutani, E.: Neuro-Fuzzy and Soft Computing: A Computational Approach to Learning and Machine Intelligence. Prentice Hall, NJ (1997). http://www.pearsonhighered.com/educator/product/NeuroFuzzy-and-Soft-Computing-A-Computational-Approach-to-Learning-and-Machine-Intelligence/9780132610667.page

  13. Mendel, J.: Uncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions. Prentice Hall, Upper-Saddle River, NJ (2001). http://www.pearsonhighered.com/educator/product/Uncertain-RuleBased-Fuzzy-Logic-Systems-Introduction-and-New-Directions/9780130409690.page

  14. Kasabov, N.K., Qun, S.: DENFIS: dynamic evolving neural-fuzzy inference system and its application for time-series prediction. IEEE Trans. Fuzzy Syst. 10(2), 144–154 (2002)

    Article  Google Scholar 

  15. Rong, H.J., Sundararajan, N., Huang, G.-B., Saratchandran, P.: Sequential Adaptive Fuzzy Inference System (SAFIS) for nonlinear system identification and prediction. Fuzzy Sets Syst. 157(9), 1260–1275 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  16. Abiyev, R., Kaynak, O.: Fuzzy wavelet neural networks for identification and control of dynamic plants—a novel structure and a comparative study. IEEE Trans. Ind. Electron. 2(55), 3133–3140 (2008)

    Article  Google Scholar 

  17. Hastie, T., Tibshirani, R.: Generalized Additive Models. Chapman and Hall/CRC (1990)

    Google Scholar 

  18. Takagi, H., Hayashi, I.: NN-driven fuzzy reasoning. Int. J. Approx. Reason. 5(3), 191–212 (1991)

    Article  MATH  Google Scholar 

  19. Mitaim, S., Kosko, B.: What is the best shape for a fuzzy set in function approximation? In: Proceedings of the 5th IEEE International Conference on Fuzzy Systems “Fuzz-96”, vol. 2, pp. 1237–1213 (1996)

    Google Scholar 

  20. Alexandridis, A.K., Zapranis, A.D.: Wavelet Neural Networks: With Applications in Financial Engineering, Chaos, and Classification. Wiley (2014). http://eu.wiley.com/WileyCDA/WileyTitle/productCd-1118592522.html

    Google Scholar 

  21. Bodyanskiy, Y., Lamonova, N., Pliss, I., Vynokurova, O.: An adaptive learning algorithm for a wavelet neural network. Expert Syst. 22(5), 235–240 (2005)

    Google Scholar 

  22. Bodyanskiy, Y., Vynokurova, O.: Hybrid type-2 wavelet-neuro-fuzzy network for businesses process prediction. Bus. Inform. 21, 9–21 (2011)

    Google Scholar 

  23. Bodyanskiy, Y., Pliss I., Vynokurova, O.: Type-2 fuzzy-wavelet-neuron for solving data mining problems. In.: Proceedings of the East West Fuzzy Colloquium 2012, 19th Zittau Fuzzy Colloquium. Zittau/Goerlitz: HS, pp. 96–103 (2012)

    Google Scholar 

  24. Bodyanskiy, Y., Kharchenko, O., Vynokurova O.: Least squares support vector machine based on wavelet-neuron. Inform. Technol. Manag. Sci. 7, 19–24 (2014)

    Google Scholar 

  25. Yamakawa, T., Uchino, E., Miki, T., Kusanagi, H.: A neo-fuzzy neuron and its applications to system identification and prediction of the system behaviour. In.: Proceedings of the 2nd International Conference on Fuzzy Logic and Neural Networks “IIZUKA-92”, pp. 477–483, Iizuka, Japan (1992)

    Google Scholar 

  26. Bodyanskiy, Y., Vynokurova, O., Kharchenko, O.: Least squares support vector machine based on wavelet-neuron. Inform. Technol. Manag. Sci. 17, 19–24 (2014)

    Google Scholar 

  27. Wang, L.: Adaptive Fuzzy Systems and Control. Design and Stability Analysis. Prentice Hall, New Jersey (1994)

    Google Scholar 

  28. Cichocki, A., Unbehauen, R.: Neural Networks for Optimization and Signal Processing. Teubner, Stuttgart (1993)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yevgeniy Bodyanskiy .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this paper

Cite this paper

Bodyanskiy, Y., Vynokurova, O., Pliss, I., Peleshko, D., Rashkevych, Y. (2016). Hybrid Generalized Additive Wavelet-Neuro-Fuzzy-System and Its Adaptive Learning. In: Zamojski, W., Mazurkiewicz, J., Sugier, J., Walkowiak, T., Kacprzyk, J. (eds) Dependability Engineering and Complex Systems. DepCoS-RELCOMEX 2016. Advances in Intelligent Systems and Computing, vol 470. Springer, Cham. https://doi.org/10.1007/978-3-319-39639-2_5

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-39639-2_5

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-39638-5

  • Online ISBN: 978-3-319-39639-2

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics