Skip to main content

Fuzzy Dynamic Parameter Adaptation for Particle Swarm Optimization of Modular Granular Neural Networks Applied to Time Series Prediction

  • Chapter
  • First Online:
Recent Advances of Hybrid Intelligent Systems Based on Soft Computing

Part of the book series: Studies in Computational Intelligence ((SCI,volume 915))

Abstract

In this paper the optimization of Modular Granular Neural Networks (MGNNs) using a Particle Swarm Optimization (PSO) approach is proposed. PSO uses dynamic parameter adaptation based on Fuzzy Logic (FL). The MGNN is applied to time series prediction. To perform comparisons with the achieved results using the fuzzy dynamic adaptation of the PSO, tests with non-optimized trainings and runs with a conventional PSO are performed. The fuzzy dynamic parameters of the PSO are c1, c2 and w, as these parameters are essential to have a better PSO performance. The optimization finds optimal parameters of the MGNNs such as: the number of sub modules, number of hidden layers with their number of neurons and goal error. The effectiveness of the proposed method is tested using 800 data points of the Mackey-Glass time series. Tests using 500 and 300 data points for the training phase are performed for non-optimized and optimized methods.

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 149.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 199.99
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

Similar content being viewed by others

References

  1. D. Sánchez, P. Melin, O. Castillo, A Grey Wolf Optimizer for Modular Granular Neural Networks for Human Recognition, vol. 2017, pp. 4180510:1–4180510:26 (2017)

    Google Scholar 

  2. L. Zhang, K. Mistry, S. ChinNeoh, C.P. Lim, Intelligent facial emotion recognition using moth-firefly optimization. Knowl. Based Syst. 111(1), 248–267 (2016)

    Article  Google Scholar 

  3. J. Rajeshkumar, K. Kousalya, Diabetes data classification using whale optimization algorithm and backpropagation neural network. Int. Res. J. Pharm. 8(11), 219–222 (2017)

    Article  Google Scholar 

  4. Z. Cai et al., Quadrotor trajectory tracking and obstacle avoidance by chaotic grey wolf optimization-based active disturbance rejection control. Mech. Syst. Signal Process. 128(1), 636–654 (2019)

    Article  Google Scholar 

  5. M. Wang, H. Dong, X. Li, Y. Zhang, J. Yu, Control and optimization of a bionic robotic fish through a combination of CPG model and PSO. Neurocomputing 337, 144–152 (2019)

    Article  Google Scholar 

  6. M. Pulido, O. Castillo, P. Melin, Genetic optimization of ensemble neural networks for complex time series prediction of the Mexican exchange. Int. J. Innov. Comput. Inf. Control 9(10), 4151–4166 (2013)

    Google Scholar 

  7. D.E. Goldberg, Genetic Algorithms in Search Optimization and Machine Learning: Addison-Wesley (1989)

    Google Scholar 

  8. M. Dorigo, Optimization, Learning and Natural Algorithms. Politecnico di Milano, Italy, PhD Thesis (1992)

    Google Scholar 

  9. R.C. Eberhart, J. Kennedy, A new optimizer using particle swarm, in Sixth International Symposium on Micro Machine and Human Science, pp. 39–43 (1995)

    Google Scholar 

  10. J. Kennedy, R.C. Eberhart, Particle swarm optimization, in Proceedings of the IEEE international Joint Conference on Neural Networks, pp. 1942–1948 (1995)

    Google Scholar 

  11. X.S. Yang, Firefly algorithms for multimodal optimization, in Proceedings of 5th Symposium on Stochastic Algorithms, Foundations and Applications, vol. 5792, pp. 169–178 (2009)

    Google Scholar 

  12. S. Mirjalili, S.M. Mirjalili, A. Lewis, Grey Wolf Optimizer. Adv. Eng. Softw. 69, 46–61 (2014)

    Article  Google Scholar 

  13. R. Rajabioun, Cuckoo Optimization Algorithm. Appl. Soft Comput. J. 11, 5508–5518 (2011)

    Article  Google Scholar 

  14. A. Sharkey, Combining Artificial Neural Nets: Ensemble and Modular Multi-net Systems. Springer (1999)

    Google Scholar 

  15. F. Azamm, Biologically Inspired Modular Neural Networks. Virginia Polytechnic Institute and State University, Blacksburg, Virginia, PhD thesis (2000)

    Google Scholar 

  16. P. Melin, O. Castillo, Hybrid Intelligent Systems for Pattern Recognition Using Soft Computing: An Evolutionary Approach for Neural Networks and Fuzzy Systems, 1st edn. Springer (2005)

    Google Scholar 

  17. L.A. Zadeh, Fuzzy sets. Inf. Control 8(3), 338–353 (1965)

    Article  Google Scholar 

  18. L.A. Zadeh, Toward a theory of fuzzy information granulation and its centrality in human reasoning and fuzzy logic. Fuzzy Sets Syst. 90(2), 111–127 (1997)

    Article  MathSciNet  Google Scholar 

  19. Y.Y. Yao, On modeling data mining with granular computing, in 25th International Computer Software and Applications Conference (COMPSAC), pp. 638–649 (2001)

    Google Scholar 

  20. A. Bargiela, W. Pedrycz, The roots of granular computing, in IEEE International Conference on granular computing (GrC), pp. 806–809 (2006)

    Google Scholar 

  21. Y. Qian, H. Zhang, F. Li, Q. Hu, J. Liang, Set-based granular computing: a lattice model. Int. J. Approx. Reason. 55, 834–852 (2014)

    Article  MathSciNet  Google Scholar 

  22. R.C. Eberhart, Y. Shi, Comparing inertia weights and constriction factors in particle swarm optimization, in Proceedings of the IEEE Congress on Evolutionary Computation, vol. 1, pp. 84–88 (2000)

    Google Scholar 

  23. Y. Shi, R. Eberhart, Parameter selection in particle swarm optimization, in International Conference on Evolutionary Programming, pp. 591–600 (1998)

    Google Scholar 

  24. D. Sánchez, P. Melin, Optimization of modular granular neural networks using hierarchical genetic algorithms for human recognition using the ear biometric measure. Eng. Appl. Artif. Intell. 27, 41–56 (2014)

    Article  Google Scholar 

  25. D. Sánchez, P. Melin, O. Castillo, Optimization of modular granular neural networks using a firefly algorithm for human recognition. Eng. Appl. Artif. Intell. 64, 172–186 (2017)

    Article  Google Scholar 

  26. D. Sánchez, P. Melin, O. Castillo, Fuzzy adaptation for particle swarm optimization for modular neural networks applied to iris recognition, in North American Fuzzy Information Processing Society Annual Conference, pp. 104–114 (2017)

    Google Scholar 

  27. F. Valdez, J.C. Vázquez, F. Gaxiola, Fuzzy dynamic parameter adaptation in ACO and PSO for designing fuzzy controllers: the cases of water level and temperature control. Adv. Fuzzy Syst. 2018, 1274969:1–1274969:19 (2018)

    Google Scholar 

  28. P. Melin, M. Pulido, Optimization of ensemble neural networks with type-2 fuzzy integration of responses for the Dow Jones time series prediction. Intell. Autom. Soft Comput. 20(3), 403–418 (2014)

    Article  Google Scholar 

  29. M. Pulido, P. Melin, O. Castillo, Particle swarm optimization of ensemble neural networks with fuzzy aggregation for time series prediction of the Mexican Stock Exchange. Inf. Sci. 280, 188–204 (2014)

    Article  MathSciNet  Google Scholar 

  30. M.C. Mackey, L. Glass, Oscillation and chaos in physiological control systems. Science 197, 287–289 (1997)

    Article  Google Scholar 

  31. P. Melin, D. Sánchez, O. Castillo, Genetic optimization of modular neural networks with fuzzy response integration for human recognition. Inf. Sci. 197, 1–19 (2012)

    Article  Google Scholar 

  32. M.A. Sanchez, O. Castillo, J.R. Castro, P. Melin, Fuzzy granular gravitational clustering algorithm for multivariate data. Inf. Sci. 279, 498–511 (2014)

    Article  MathSciNet  Google Scholar 

  33. P. Melin, O. Castillo, Intelligent control of complex electrochemical systems with a neuro-fuzzy-genetic approach. IEEE Trans. Ind. Electron. 48(5), 951–955

    Google Scholar 

  34. L. Aguilar, P. Melin, O. Castillo, Intelligent control of a stepping motor drive using a hybrid neuro-fuzzy ANFIS approach. Appl. Soft Comput. 3(3), 209–219 (2003)

    Article  Google Scholar 

  35. P. Melin, O. Castillo, Adaptive intelligent control of aircraft systems with a hybrid approach combining neural networks, fuzzy logic and fractal theory. Appl. Soft Comput. 3(4), 353–362 (2003)

    Article  Google Scholar 

  36. P. Melin, J. Amezcua, F. Valdez, O. Castillo, A new neural network model based on the LVQ algorithm for multi-class classification of arrhythmias. Inf. Sci. 279, 483–497 (2014)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Daniela Sánchez .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Sánchez, D., Melin, P., Castillo, O. (2021). Fuzzy Dynamic Parameter Adaptation for Particle Swarm Optimization of Modular Granular Neural Networks Applied to Time Series Prediction. In: Melin, P., Castillo, O., Kacprzyk, J. (eds) Recent Advances of Hybrid Intelligent Systems Based on Soft Computing. Studies in Computational Intelligence, vol 915. Springer, Cham. https://doi.org/10.1007/978-3-030-58728-4_11

Download citation

Publish with us

Policies and ethics