Skip to main content

Heuristic crossovers for real-coded genetic algorithms based on fuzzy connectives

  • Modifications and Extensions of Evolutionary Algorithms Genetic Operators and Problem Representation
  • Conference paper
  • First Online:
Parallel Problem Solving from Nature — PPSN IV (PPSN 1996)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1141))

Included in the following conference series:

Abstract

A problem in the use of genetic algorithms is the premature convergence in a local optimum. Its main cause is the lack of diversity in the population due to a disproportionate relationship between exploitation and exploration. In this paper, we present heuristic crossover operators for real-coded genetic algorithms, which use the adaptation of the parents for generating the offspring. With these operators, diversity and convergence in the population may be modeled in order to avoid the premature convergence problem and to introduce good final behaviour.

This research has been supported by DGICYT PB92-0933.

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bäck, T. & Schwefel, H.P.: An Overview of Evolutionary Algorithms for Parameter Optimization. Evolutionary Computation, 1(1) (1993) 1–23.

    Google Scholar 

  2. Booker, L.: Improving Search in Genetic Algorithms. Genetic Algorithms and Simulated Annealing, L. Davis (Ed.), (Morgan Kaufmann Publishers, Los Altos, 1987), 61–73.

    Google Scholar 

  3. Eshelman L.J., Schaffer J.D.: Real-Coded Genetic Algorithms and Interval-Schemata. Foundations of Genetic Algorithms-2, L.Darrell Whitley (Ed.), (Morgan Kaufmann Publishers, San Mateo, 1993), 187–202.

    Google Scholar 

  4. Davis, L.: Handbook of Genetic Algorithms. New York: Van Nostrand Reinhold (1991).

    Google Scholar 

  5. Grefenstette J.J.: A User's Guide to GENESIS Version 5.0, (1990).

    Google Scholar 

  6. Herrera, F., Herrera-Viedma, E., Lozano, M., Verdegay, J.L.: Fuzzy Tools to Improve Genetic Algorithms. Second European Congress on Intelligent Techniques and Soft Computing (1994) 1532–1539.

    Google Scholar 

  7. Herrera, F., Lozano, M., Verdegay, J.L.: The Use of Fuzzy Connectives to Design Real-Coded Genetic Algorithms. Mathware & Soft Computing 1(3) (1995) 239–251.

    Google Scholar 

  8. Herrera, F., Lozano, M., Verdegay, J.L.: Tackling Real-Coded Genetic Algorithms: Operators and Tools for Behavioural Analysis. To appear in Artificial Intelligence Review.

    Google Scholar 

  9. Herrera, F., Lozano, M., Verdegay, J.L.: Fuzzy Connective Based Crossover Operators to Model Genetic Algorithms Population Diversity. Technical Report #95110, Dept. of Computer Science and Artificial Intelligence. University of Granada (1995).

    Google Scholar 

  10. Liepins, G.E. & Vose, M.D: Characterizing Crossover in Genetic Algorithms. Annals of Mathematics and Artificial Intelligence 5(1) (1992) 27–34.

    Article  Google Scholar 

  11. Mahfoud, S.W.: Niching Methods for Genetic Algorithms. IlliGAL Report No. 95001 (1995).

    Google Scholar 

  12. Michalewicz, Z.: Genetic Algorithms + Data Structures=Evolution Programs. New York: Springer-Verlag (1992).

    Google Scholar 

  13. Mizumoto M.: Pictorial Representations of fuzzy connectives, Part I: Cases of t-norms, t-conorms and averaging operators. Fuzzy Sets and Systems 31 (1989) 217–242.

    Article  Google Scholar 

  14. Mühlenbein H., Schlierkamp-Voosen D.: Predictive Models for the Breeder Genetic Algorithm I. Continuous Parameter Optimization. Evolutionary Computation 1 (1993) 25–49.

    Google Scholar 

  15. Radcliffe, N.J.: Equivalence Class Analysis of Genetic Algorithms. Complex Systems 5(2) (1991) 183–205.

    Google Scholar 

  16. Sanchez, E.: Fuzzy Genetic Algorithms in Soft Computing Environment. Fifth IFSA World Congress, Seoul, (1993).

    Google Scholar 

  17. Schlierkamp-Voosen D.: Strategy Adaptation by Competition. Second European Congress on Intelligent Techniques and Soft Computing (1994) 1270–1274.

    Google Scholar 

  18. Schwefel, H.P.: Evolution and Optimum Seeking. Sixth-Generation Computer Technology Series. New York: Wiley (1995).

    Google Scholar 

  19. Voigt H. M.: Fuzzy Evolutionary Algorithms. Technical Report tr-92-038, International Computer Science Institute (ICSI) Berkeley, (1992).

    Google Scholar 

  20. Voigt, H.M., Mühlenbein, H. & Cvetković: Fuzzy Recombination for the Breeder Genetic Algorithm. Proc. of the Sixth Int. Conf. on Genetic Algorithms, L. Eshelman (Ed.), (Morgan Kaufmann Publishers, San Francisco, 1995), 104–111.

    Google Scholar 

  21. Wright A.: Genetic Algorithms for Real Parameter Optimization. Foundations of Genetic Algorithms, First Workshop on the Foundations of Genetic Algorithms and Classifier Systems, G.J.E. Rawlin(Ed.), (Morgan Kaufmann, Los Altos, CA, 1990), 205–218.

    Google Scholar 

  22. Wright A.: Genetic Algorithms for Real Parameter Optimization. Foundations of Genetic Algorithms-1, G.J.E Rawlin (Ed.), (Morgan Kaufmann, San Mateo, 1991), 205–218.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Hans-Michael Voigt Werner Ebeling Ingo Rechenberg Hans-Paul Schwefel

Rights and permissions

Reprints and permissions

Copyright information

© 1996 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Herrera, F., Lozano, M. (1996). Heuristic crossovers for real-coded genetic algorithms based on fuzzy connectives. In: Voigt, HM., Ebeling, W., Rechenberg, I., Schwefel, HP. (eds) Parallel Problem Solving from Nature — PPSN IV. PPSN 1996. Lecture Notes in Computer Science, vol 1141. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-61723-X_998

Download citation

  • DOI: https://doi.org/10.1007/3-540-61723-X_998

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-61723-5

  • Online ISBN: 978-3-540-70668-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics