Skip to main content

Efficient Error Based Metrics for Fuzzy-Neural Network Performance Evaluation

  • Chapter
  • First Online:
Advanced Computing in Industrial Mathematics

Part of the book series: Studies in Computational Intelligence ((SCI,volume 728))

Abstract

In this paper the effectiveness of different error metrics for assessment of the capabilities of an advanced fuzzy-neural architecture are studied. The proposed structure combines the potentials of the Intuitionistic Fuzzy Logic with the simplicity of the Neo-Fuzzy Neuron theory for implementation of robust modeling mechanisms, able to capture uncertain variations in the data space. A major concern when evaluating the performance of such kind of models is the selection of appropriate error metrics in order to assess their potential to capture a wide range of system behaviours. Therefore, different error metrics to evaluate the functional properties of a proposed Intuitionistic Neo-fuzzy network are studied and a comparative analysis in modeling of chaotic time series is made.

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 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover 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. Abiyev, R.H., Kaynak, O.: Type 2 fuzzy neural structure for identification and control of time-varying plants. IEEE Trans. Ind. Electron. 57(12) (2010)

    Google Scholar 

  2. Aliev, R.A., Guirimov, B.G.: Type-2 Fuzzy Neural Networks and Their Applications. Springer International Publishing (2014)

    Google Scholar 

  3. Atanassov, K.: Intuitionistic Fuzzy Sets. Springr, Hielderberg (1999)

    Book  MATH  Google Scholar 

  4. Baceiar, A., De Souza Filho, E., Neves, F., Landim, R.: On-line linear system parameter estimation using the neo-fuzzy-neuron algorithm. In: Proceedings of the 2nd IEEE International Workshop on Intelligent Data Acquisition and Advanced Computing Systems: Technology and Applications, pp. 115–118 (2003)

    Google Scholar 

  5. Bodyanskiy, Y., Kokshenevane, I., Kolodyazhniy, V.: An adaptive learning algorithm for a neo-fuzzy neuron. In: Proceedings of the 3rd Conference of the European Society for Fuzzy Logic and Technology, pp. 375–379 (2005)

    Google Scholar 

  6. Bodyanskiy, Y., Viktorov, Y.: The cascade neo-fuzzy architecture and its online learning algorithm. Int. Book Series Inf. Sci. Comput. 17(1), 110–116 (2010)

    Google Scholar 

  7. Bodyanskiy, Y., Pliss, I., Vynokurova, O.: Flexible neo-fuzzy neuron and neuro-fuzzy network for monitoring time series properties. Inf. Technol. Manag. Sci. 16, 47–52 (2013)

    Google Scholar 

  8. Bodyanskiy, Y., Tyshchenko, O., Kopaliani, D.: An extended neo-fuzzy neuron and its adaptive learning algorithm. Int. J. Intell. Syst. Appl. 2, 21–26 (2015)

    Google Scholar 

  9. Castillo, O., Melin, P., Tsvetkov, R., Atanassov, K.T.: Short remark on fuzzy sets, interval type-2 fuzzy sets, general type-2 fuzzy sets and intuitionistic fuzzy sets. In: Intelligent Systems’ 2014, Advances in Intelligent Systems and Computing, vol. 322, pp. 183–190 (2015)

    Google Scholar 

  10. Chai, T., Draxler, R.R.: Root mean square error (RMSE) or mean absolute error (MAE)?–Arguments against avoiding RMSE in the literature. Geosci. Model Dev. 7, 1247–1250 (2014)

    Article  Google Scholar 

  11. Collopy, F., Armstrong, J.S.: Another Error Measure for Selection of the Best Forecasting Method: The Unbiased Absolute Percentage Error (2000)

    Google Scholar 

  12. Jang, J.-S.R.: ANFIS: adaptive-network-based fuzzy inference system. IEEE Trans. Syst. Man Cybern. 23(5), 665–685 (1993)

    Article  Google Scholar 

  13. Juang, C.-F., Jang, W.-S.: A type-2 neural fuzzy system learned through type-1 fuzzy rules andits FPGA-based hardware implementation. Appl. Soft Comput. 18, 302–313 (2014)

    Article  Google Scholar 

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

    Google Scholar 

  15. Kim, H.D.: Optimal learning of neo-fuzzy structure using bacteria foraging optimization. In: Proceedings of the ICCA (2005)

    Google Scholar 

  16. Landim, R., Rodriguez, B., Silva, S., Caminhas, W.: A neo-fuzzy-neuron with real time training applied to flux observer for an induction motor. In: Proceedings of 5th IEEE Brazilian Symposium of Neural Networks, pp. 67–72 (1998)

    Google Scholar 

  17. Moreno, J.J.M., Pol, A.P., Abad, A.S., Blasco, B.C.: Using the RMAPE index as a resistant measure of forecast accuracy. Psicothema 25(4), 500–506 (2013)

    Google Scholar 

  18. Pandit, M., Srivastava, L., Singh, V.: On-line voltage security assessment using modified neo fuzzy neuron based classifier. IEEE Int. Conf. Ind. Technol. 899–904 (2006)

    Google Scholar 

  19. Shcherbakov, M., Brebels, A.: A survey of forecast error measures. World Appl. Sci. J. 24(4), 171–176 (2013)

    Google Scholar 

  20. Silva, A.M., Caminhas, W., Lemos, A., Gomide, F.: A fast learning algorithm for evolving neo-fuzzy neuron. Appl. Soft Comput. 14, 194–209 (2014)

    Article  Google Scholar 

  21. Silva, A.M., Caminhas, W., Lemos, A., Gomide, F.: Evolving neo-fuzzy neural network with adaptive feature selection. In: Proceedings of 2013 BRICS IEEE Congress on Computational Intelligence, 11th Brazilian Congress on Computational Intelligence, pp. 341–349 (2014)

    Google Scholar 

  22. Soualhi, A., Clerc, G., Razik, H., Rivas, F.: Long-term prediction of bearing condition by the neo-fuzzy neuron. In: Proceedings of 9th International IEEE Symposium of Diagnostic of Electric Machines, Power Electronics and Drives, pp. 586–591 (2013)

    Google Scholar 

  23. Terziyska, M., Todorov, Y.: Modeling of chaotic time series by interval type-2 neo-fuzzy neural network. In: International Conference on Artificial Neural Networks (ICANN’ 2014). Springer Lecture Notes on Computer Science, vol. 8681, pp. 643–650. Hamburg, Germany (2014)

    Google Scholar 

  24. Tung, S.W., Quek, C., Guan, C.: T2FIS: an evolving type-2 neural fuzzy inference system. Inf. Sci. 220, 124–148 (2013)

    Article  Google Scholar 

  25. Uchino, E., Yamakawa, T.: High speed fuzzy learning machine with guarantee of global minimum and its applications to chaotic system identification and medical image processing. In: Proceedings of 7th International IEEE Conference on Tools with Artificial Intelligence, pp. 242–249 (1995)

    Google Scholar 

  26. Uchino, E., Yamakawa, T.: Neo-fuzzy-neuron based new approach to system modeling, with application to actual system. In: Proceedings of 6th International IEEE Conference on Tools with Artificial Intelligence, pp. 564–570 (1994)

    Google Scholar 

  27. Willmott, C., Matsuura, K.: Advantages of the mean absolute error (MAE) over the root mean square error (RMSE) in assessing average model performance. Clim. Res. 30, 79–82 (2005)

    Article  Google Scholar 

  28. Zadeh, L.A.: The concept of a linguistic variable and its applications to approximate reasoning-1. Inf. Sci. 8, 199–249 (1975)

    Article  MATH  MathSciNet  Google Scholar 

  29. Zaychenko, Y., Gasanov, A.: Investigations of cascade neo-fuzzy neural networks in the problem of forecasting at the stock exchange. In: Proceedings of the IVth IEEE International Conference Problems of Cybernetics and Informatics (PCI’ 2012), pp. 227–229 (2012)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yancho Todorov .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG

About this chapter

Cite this chapter

Terziyska, M., Todorov, Y., Dobreva, M. (2018). Efficient Error Based Metrics for Fuzzy-Neural Network Performance Evaluation. In: Georgiev, K., Todorov, M., Georgiev, I. (eds) Advanced Computing in Industrial Mathematics. Studies in Computational Intelligence, vol 728. Springer, Cham. https://doi.org/10.1007/978-3-319-65530-7_17

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-65530-7_17

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-65529-1

  • Online ISBN: 978-3-319-65530-7

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics