Skip to main content

Fuzzy Flower Pollination Algorithm with Chaos for Global Optimization

  • Conference paper
  • First Online:
Progress in Intelligent Decision Science (IDS 2020)

Abstract

This paper is concerned with development of a hybrid flower pollination algorithm by combining fuzzy logic and chaos theory. Flower pollination algorithm is one of the recently developed algorithms which mimics the pollination process of the flowers observed in nature. Flower pollination algorithm has two main procedures which are global and local pollination, respectively. These two mechanisms are guided by a switching probability which is a user-defined parameter. Setting a proper value for switching probability is a challenging issue. In this paper, fuzzy inference system is used to control switching probability by considering generation number and population diversity. Furthermore, chaotic numbers are utilized to enhance search capability of the algorithm. All of the proposed modifications are tested on unconstrained function minimization problems and non-parametric statistical tests are used to validate improvements over canonical flower pollination algorithm.

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

Similar content being viewed by others

References

  1. Yang, X.S.: Flower pollination algorithm for global optimization. In: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). LNCS, vol. 7445, pp. 240–249 (2012)

    Google Scholar 

  2. Benkercha, R., Moulahoum, S., Kabache, N.: Combination of artificial neural network and flower pollination algorithm to model fuzzy logic MPPT controller for photovoltaic systems. In: 2017 18th International Symposium on Electromagnetic Fields in Mechatronics, Electrical and Electronic Engineering, ISEF 2017 (2017)

    Google Scholar 

  3. Gölcük, İ., Baykasoğlu, A., Özsoydan, F.B.: A flower pollination algorithm for improving cluster analysis. In: International Conference on Applied Mathematics in Engineering (ICAME 2018), Balıkesir, Turkey, p. 186 (2018)

    Google Scholar 

  4. Dahi, Z.A.E.M., Mezioud, C., Draa, A.: On the efficiency of the binary flower pollination algorithm: application on the antenna positioning problem. Appl. Soft Comput. 47, 395–414 (2016)

    Article  Google Scholar 

  5. Carreon, H., Valdez, F., Castillo, O.: Fuzzy flower pollination algorithm to solve control problems. Stud. Comput. Intell. 827, 119–154 (2020)

    Google Scholar 

  6. Valenzuela, L., Valdez, F., Melin, P.: Flower pollination algorithm with fuzzy approach for solving optimization problems. Stud. Comput. Intell. 667, 357–369 (2017)

    Google Scholar 

  7. Hilborn, R.C.: Chaos and Nonlinear Dynamics: An Introduction for Scientists and Engineers. Oxford Univ. Press, Oxford (2006)

    MATH  Google Scholar 

  8. May, R.M.: Simple mathematical models with very complicated dynamics. Nature 261, 459–467 (1976)

    Article  Google Scholar 

  9. Zhenyu, G., Bo, C., Min, Y., Binggang, C.: Self-Adaptive Chaos Differential Evolution, pp. 972–975. Springer, Heidelberg (2006)

    Google Scholar 

  10. Devaney, R.: An introduction to chaotic dynamical systems. CRC Press, Boca Raton (2018)

    Google Scholar 

  11. Peitgen, H.-O., Jürgens, H., Saupe, D.: Chaos and Fractals: New Frontiers of Science. Springer (2006)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to İlker Gölcük .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

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

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Gölcük, İ., Ozsoydan, F.B. (2021). Fuzzy Flower Pollination Algorithm with Chaos for Global Optimization. In: Allahviranloo, T., Salahshour, S., Arica, N. (eds) Progress in Intelligent Decision Science. IDS 2020. Advances in Intelligent Systems and Computing, vol 1301. Springer, Cham. https://doi.org/10.1007/978-3-030-66501-2_33

Download citation

Publish with us

Policies and ethics