Skip to main content
SpringerLink
Log in
Book cover

Imprecision and Uncertainty in Information Representation and Processing pp 361–374Cite as

Differential Evolution with Fuzzy Logic for Dynamic Adaptation of Parameters in Mathematical Function Optimization

  • Chapter
  • First Online:

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 332))

Abstract

The proposal described in this paper uses the Differential Evolution (DE) algorithm as an optimization method in which we want to dynamically adapt its parameters using fuzzy logic control systems, with the goal that the fuzzy system gives the optimal parameter of the DE algorithm to find better results, depending on the type of problems the DE is applied.

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

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

Learn about institutional subscriptions

References

  1. Aguas-Marmolejo, S.J., Castillo, O.: Optimization of membership functions for Type-1 and Type 2 fuzzy controllers of an autonomous mobile robot using PSO. In: Recent Advances on Hybrid Intelligent Systems, pp. 97–104 (2013)

    Google Scholar 

  2. Astudillo, L., Melin, P., Castillo, O.: Optimization of a fuzzy tracking controller for an autonomous mobile robot under perturbed torques by means of a chemical optimization paradigm. In: Recent Advances on Hybrid Intelligent Systems, pp. 3–20 (2013)

    Google Scholar 

  3. Eftekhari, M., Katebi, S.D., Karimi, M., Jahanmir, A.H.: Eliciting transparent fuzzy model using differential evolution. Appl. Soft Comput. School of Engineering, Shiraz University, Shiraz, Iran, 8, 466–476 (2008)

    Google Scholar 

  4. Fierro, R., Castillo, O.: Design of fuzzy control systems with different PSO variants. In: Recent Advances on Hybrid Intelligent Systems, pp. 81–88 (2013)

    Google Scholar 

  5. Hachicha, N., Jarboui, B., Siarry, P.: A fuzzy logic control using a differential evolution algorithm aimed at modelling the financial market dynamics. Institut Supérieur de Commerce et de Comptabilité de Bizerte, Zarzouna 7021, Bizerte, Tunisia, Information Sciences 181, 79–91 (2011)

    Google Scholar 

  6. Lizárraga, E., Castillo, O., Soria, J.: A method to solve the traveling salesman problem using ant colony optimization variants with ant set partitioning. In: Recent Advances on Hybrid Intelligent Systems, pp. 237–2461 (2013)

    Google Scholar 

  7. Melendez, A., Castillo, O.: Evolutionary optimization of the fuzzy integrator in a navigation system for a mobile robot. In: Recent Advances on Hybrid Intelligent Systems, pp. 21–31 (2013)

    Google Scholar 

  8. Melin, P., Olivas, F., Castillo, O., Valdez, F., Soria, J., García, J.: Optimal design of fuzzy classification systems using PSO with dynamic parameter adaptation through fuzzy logic. Expert Syst. Appl. 40(8), 3196–3206 (2013)

    Article  Google Scholar 

  9. Mezura-Montes, E. Palomeque-Ortiz, A.: Self-adaptive and deterministic parameter control in differential evolution for constrained optimization. Efren Mezura-Montes, Laboratorio Nacional de Inform´atica Avanzada (LANIA A.C.), R´ebsamen 80, Centro, Xalapa, Veracruz, 91000, MEXICO (2009)

    Google Scholar 

  10. Neyoy, H., Castillo, O., José Soria: Dynamic Fuzzy Logic Parameter Tuning for ACO and Its Application in TSP Problems. Recent Advances on Hybrid Intelligent Systems, pp. 259–271 (2013)

    Google Scholar 

  11. Oh, S.-K., Kim, W.-D., Pedrycz, W.: Design of optimized cascade fuzzy controller based on differential evolution: Simulation studies and practical insights, Department of Electrical Engineering, The University of Suwon. Eng. Appl. Artif. Intell. 25, 520–532 (2012)

    Article  Google Scholar 

  12. Olivas F., Castillo O.: Particle Swarm Optimization with Dynamic Parameter Adaptation Using Fuzzy Logic for Benchmark Mathematical Functions. Recent Advances on Hybrid Intelligent Systems 2013: 247–258

    Google Scholar 

  13. Price, Storn R., Lampinen, J. A., Differential Evolution, Kenneth V., Springer, Berlin (2005)

    Google Scholar 

  14. Raofen, W., Zhang, J., Zhang, Y., Wang, X.: Assessment of human operator functional state using a novel differential evolution optimization based adaptive fuzzy model, Lab for Brain-Computer Interfaces and Control, East China University of Science and Technology, Shanghai 200237, PR China, Biomedical Signal Processing and Control 7 (2012) 490– 498

    Google Scholar 

  15. Valdez, F., Melin, P., Castillo, O.: Bio-inspired optimization methods on graphic processing unit for minimization of complex mathematical functions. In: Recent Advances on Hybrid Intelligent Systems, pp. 313–322 (2013)

    Google Scholar 

  16. Vucetic, D.: Fuzzy Differential Evolution Algorithm. The University of Western Ontario, London, Ontario, Canada (2012)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Tijuana Institute of Technology, Tijuana, Mexico

    Oscar Castillo, Patricia Ochoa & José Soria

Authors
  1. Oscar Castillo
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Patricia Ochoa
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. José Soria
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Oscar Castillo .

Editor information

Editors and Affiliations

  1. School of Computing and Communications, Lancaster University Bailrigg, Lancaster, United Kingdom

    Plamen Angelov

  2. Intelligent Systems Laboratory, Prof. Assen Zlatarov University, Bourgas, Bulgaria

    Sotir Sotirov

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Castillo, O., Ochoa, P., Soria, J. (2016). Differential Evolution with Fuzzy Logic for Dynamic Adaptation of Parameters in Mathematical Function Optimization. In: Angelov, P., Sotirov, S. (eds) Imprecision and Uncertainty in Information Representation and Processing. Studies in Fuzziness and Soft Computing, vol 332. Springer, Cham. https://doi.org/10.1007/978-3-319-26302-1_21

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-26302-1_21

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-26301-4

  • Online ISBN: 978-3-319-26302-1

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation