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Self-Organizing Migrating Algorithm pp 277–289Cite as

Inspired in SOMA: Perturbation Vector Embedded into the Chaotic PSO Algorithm Driven by Lozi Chaotic Map

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Part of the book series: Studies in Computational Intelligence ((SCI,volume 626))

Abstract

In this chapter a new approach for Particle Swarm Optimization (PSO) algorithm driven by chaotic pseudorandom number generator based on chaotic Lozi map is presented. This research represents the continuation of the satisfactory results obtained by means of chaos embedded (driven) swarm based algorithms, which utilize the chaotic dynamics in the place of pseudorandom number generators. The perturbation vector, which is introduced here, was inspired by the swarm based Self-organizing Migrating Algorithm (SOMA). It was embedded into the PSO algorithm to help overcome the issue of premature convergence.

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References

  1. Kennedy, J., Eberhart, R.: Particle swarm optimization. In: Proceedings of IEEE International Conference on Neural Networks, IV, pp. 1942–1948 (1995)

    Google Scholar 

  2. Eberhart, R., Kennedy, J.: Swarm intelligence. The Morgan Kaufmann Series in Artificial Intelligence. Morgan Kaufmann, Burlington (2001)

    Google Scholar 

  3. Shi, Y.H., Eberhart R.C.: A modified particle swarm optimizer. In: IEEE International Conference on Evolutionary Computation, Anchorage, Alaska, pp. 69–73 (1998)

    Google Scholar 

  4. Nickabadi, A., Ebadzadeh, M.M., Safabakhsh, R.: A novel particle swarm optimization algorithm with adaptive inertia weight. Appl. Soft Comput. 11(4), 3658–3670 (2011). ISSN 1568-4946

    Google Scholar 

  5. Dorigo, M.: Ant Colony Optimization and Swarm Intelligence. Springer, Berlin (2006)

    Google Scholar 

  6. Zelinka, I.: SOMA—self organizing migrating algorithm. In: Babu, B.V., Onwubolu, G. (eds.) New Optimization Techniques in Engineering, vol. 33. Springer, Berlin (2004). ISBN: 3-540-20167X (Chapter 7)

    Google Scholar 

  7. Caponetto, R., Fortuna, L., Fazzino, S., Xibilia, M.G.: Chaotic sequences to improve the performance of evolutionary algorithms. IEEE Trans. Evol. Comput. 7(3), 289–304 (2003)

    Google Scholar 

  8. Davendra, D., Zelinka, I., Senkerik, R.: Chaos driven evolutionary algorithms for the task of PID control. Comput. Math. Appl. 60(4), 1088–1104 (2010). ISSN 0898-1221

    Google Scholar 

  9. Araujo, E., Coelho, L.: Particle swarm approaches using Lozi map chaotic sequences to fuzzy modelling of an experimental thermal-vacuum system. Appl. Soft Comput. 8(4), 1354–1364 (2008)

    Article  Google Scholar 

  10. Alatas, B., Akin, E., Ozer, B.A.: Chaos embedded particle swarm optimization algorithms. Chaos Solitons Fractals 40(4), 1715–1734. ISSN 0960-0779 (2009)

    Google Scholar 

  11. Pluhacek, M., Senkerik, R., Davendra, D., Oplatkova, Z.K, Zelinka, I.: On the behavior and performance of chaos driven PSO algorithm with inertia weight. Comput. Math. Appl. 66, 122–134 (2013)

    Google Scholar 

  12. Pluhacek, M., Budikova, V., Senkerik, R., Oplatkova Z., Zelinka, I.: On the performance of enhanced PSO algorithm with Lozi Chaotic map—an initial study. In: Proceedings of the 18th International Conference on Soft Computing, MENDEL 2012, pp. 40–45 (2012). ISBN 978-80-214-4540-6

    Google Scholar 

  13. Pluhacek, M., Senkerik, R., Zelinka, I., Davendra, D.: Chaos PSO algorithm driven alternately by two different chaotic maps—an initial study. In: IEEE Congress on Evolutionary Computation (CEC), 2013, pp. 2444, 2449 (2013). doi:10.1109/CEC.2013.6557862, ISBN: 978-1-4799-0451-8

  14. Pluhacek, M., Senkerik, R., Zelinka, I., Davendra, D.: New adaptive approach for chaos PSO algorithm driven alternately by two different chaotic maps—an initial study. Advances in Intelligent Systems and Computing, vol. 210, Nostradamus 2013: Prediction, Modeling and Analysis of Complex Systems, pp. 77–88 (2013). ISBN 978-3-319-00541-6

    Google Scholar 

  15. Sprott, J.C.: Chaos and Time-Series Analysis. Oxford University Press, Oxford (2003)

    Google Scholar 

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Acknowledgments

This work was supported by Grant Agency of the Czech Republic—GACR P103/15/06700S, further by financial support of research project NPU I No. MSMT-7778/2014 by the Ministry of Education of the Czech Republic. also by the European Regional Development Fund under the Project CEBIA-Tech No. CZ.1.05/2.1.00/03.0089, partially supported by Grant of SGS No. SP2015/142, VŠB—Technical University of Ostrava, Czech Republic and by Internal Grant Agency of Tomas Bata University under the project No. IGA/FAI/2015/057.

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Authors and Affiliations

  1. Faculty of Applied Informatics, Tomas Bata University in Zlin, T.G. Masaryka 5555, 760 01, Zlin, Czech Republic

    Michal Pluhacek & Roman Senkerik

  2. Faculty of Electrical Engineering and Computer Science, VŠB-Technical University of Ostrava, 17. listopadu 15, 708 33, Ostrava, Poruba, Czech Republic

    Ivan Zelinka & Donald Davendra

  3. Department of Computer Science, Central Washington University, 400 E. University Way, Ellensburg, WA, 98926-7520, USA

    Donald Davendra

Authors
  1. Michal Pluhacek
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  2. Ivan Zelinka
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  3. Roman Senkerik
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  4. Donald Davendra
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Corresponding author

Correspondence to Michal Pluhacek .

Editor information

Editors and Affiliations

  1. Faculty of Ele. Eng. & Computer Sci, Dep. of Comp. Sci. Central Washington Un, Ellensburg, Czech Republic

    Donald Davendra

  2. Faculty of Ele.Eng. & Comp. Sci., VŠB-Technical University of Ostrav, Ostrava-Poruba, Czech Republic

    Ivan Zelinka

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Pluhacek, M., Zelinka, I., Senkerik, R., Davendra, D. (2016). Inspired in SOMA: Perturbation Vector Embedded into the Chaotic PSO Algorithm Driven by Lozi Chaotic Map. In: Davendra, D., Zelinka, I. (eds) Self-Organizing Migrating Algorithm. Studies in Computational Intelligence, vol 626. Springer, Cham. https://doi.org/10.1007/978-3-319-28161-2_13

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  • DOI: https://doi.org/10.1007/978-3-319-28161-2_13

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-28159-9

  • Online ISBN: 978-3-319-28161-2

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