Skip to main content

Modification of Local Search Directions for Non-dominated Solutions in Cellular Multiobjective Genetic Algorithms for Pattern Classification Problems

  • Conference paper
  • First Online:
Evolutionary Multi-Criterion Optimization (EMO 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2632))

Included in the following conference series:

Abstract

Hybridization of evolutionary algorithms with local search (LS) has already been investigated in many studies. Such a hybrid algorithm is often referred to as a memetic algorithm. Hart investigated the following four questions for designing efficient memetic algorithms for single-objective optimization: (1) How often should LS be applied? (2) On which solutions should LS be used? (3) How long should LS be run? (4) How efficient does LS need to be? When we apply LS to an evolutionary multiobjective optimization (EMO) algorithm, another question arises: (5) To which direction should LS drive? This paper mainly addresses the final issue together with the others. We apply LS to the set of non-dominated solutions that is stored separately from the population governed by genetic operations in a cellular multiobjective genetic algorithm (C-MOGA). The appropriate direction for the non-dominated solutions is attained in experiments on multiobjective classification problems.

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 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Schaffer, J.D.: Multi-objective optimization with vector evaluated genetic algorithms. Proc. of 1st International Conference on Genetic Algorithms (1985) 93–100.

    Google Scholar 

  2. Knowles, J.D. and Corne, D.W.: The Pareto archived evolution strategy: A new baseline algorithm for Pareto multiobjective optimization, Proc. of 1999 Congress on Evolutionary Computation (1999) 98–105.

    Google Scholar 

  3. Zitzler, E. and Thiele, L.: Multiobjective evolutionary algorithms: A comparative casestudy and the strength Pareto approach, IEEE Trans. on Evolutionary Computation 3,4 (1999) 257–271.

    Article  Google Scholar 

  4. Knowles, J.D. and Corne, D.W.: Approximating the nondominated front using the Pareto archived evolution strategy, Evolutionary Computation 8,2 (2000) 149–172.

    Article  Google Scholar 

  5. Zitzler, E., Deb, K. and Thiele, L.: Comparison of multiobjective evolutionary algorithms: Empirical results, Evolutionary Computation 8,2 (2000) 173–195.

    Article  Google Scholar 

  6. Deb, K., Pratap, A., Agarwal, S. and Meyarivan, T.: A fast and elitist multiobjective genetic algorithm: NSGA-II, IEEE Trans. on Evolutionary Computaiton 6,2 (2002) 182–197.

    Article  Google Scholar 

  7. Merz, P. and Freisleben B.: Genetic local search for the TSP: New results, Proc. of 4th IEEE International Conference on Evolutionary Computation (1997) 159–164.

    Google Scholar 

  8. Krasnogor, N. and Smith, J.: A memetic algorithm with self-adaptive local search: TSP as a case study, Proc. of 2000 Genetic and Evolutionary Computation Conference (2000) 987–994.

    Google Scholar 

  9. Moscato, P.: Memetic algorithms: A short instruction, in Corne, D., Glover F. and Doring M. (eds.) New Ideas in Optimization. McGraw-Hill, Maidenhead (1999) 219–234.

    Google Scholar 

  10. Hart, W. E., Krasnogor, N., and Smith, J. (eds.), First Workshop on Memetic Algorithms (WOMA I), in Proc. of 2000 Genetic and Evolutionary Computation Conference Workshop Program (2000) 95–130.

    Google Scholar 

  11. Hart, W. E., Krasnogor, N., and Smith, J. (eds.), Second Workshop on Memetic Algorithms (WOMA II), in Proc. of 2001 Genetic and Evolutionary Computation Conference Workshop Program (2001) 137–179.

    Google Scholar 

  12. Hart, W. E., Krasnogor, N., and Smith, J. (eds.), Proc. of Third Workshop on Memetic Algorithms (WOMA III) (2002) (in press).

    Google Scholar 

  13. Hart, W. E.: Adaptive global optimization with local search, Ph. D. Thesis, University of California (1994).

    Google Scholar 

  14. Ishibuchi, H. and Murata, T.: Multi-objective genetic local search algorithm, Proc. of 3rd IEEE International Conference on Evolutionary Computation (1996) 119–124.

    Google Scholar 

  15. Ishibuchi, H. and Murata, T.: A multi-objective genetic local search algorithm and its application to flowshop scheduling, IEEE Trans. on Systems, Man, and Cybernetics — Part C: Applications and Reviews 28,3 (1998) 392–403.

    Article  Google Scholar 

  16. Jaszkiewicz, A.: Genetic local search for multi-objective combinatorial optimization, European Journal of Operational Research 137,1 (2002) 50–71.

    Article  MATH  MathSciNet  Google Scholar 

  17. Murata, T., Nozawa, H., Tsujimura, Y., Gen, M. and Ishibuchi, H.: Effect of local search on the performance of cellular multi-objective genetic algorithms for designing fuzzy rulebased classification systems, Proc. of the 2002 Congress on Evolutionary Computation (2002) 663–668.

    Google Scholar 

  18. Knowles, J.D. and Corne, D.W.: M-PAES: A memetic algorithm for multiobjective optimization, Proc. of 2000 Congress on Evolutionary Computation (2000) 325–332.

    Google Scholar 

  19. Knowles, J.D. and Corne, D.W.: A comparison of diverse approaches to memetic multiobjective combinatorial optimization, Proc. of 2000 Genetic and Evolutionary Computation Conference Workshop Program (2000) 103–108.

    Google Scholar 

  20. Knowles, J.D. and Corne, D.W.: A comparison of diverse approaches to memetic multiobjective combinatorial optimization, Proc. of 2001 Genetic and Evolutionary Computation Conference Workshop Program (2001) 162–167.

    Google Scholar 

  21. Deb, K. and Goel, T.: A hybrid multi-objective evolutionary approach to engineering shape design, Proc. of 1st International Conference on Evolutionary Multi-Criterion Optimization (2001) 385–399.

    Google Scholar 

  22. Talbi, E., Rahoual, M., Mabed, M. H. and Dhaenens, C.: A hybrid evolutionary approach for multicriteria optimization problems: Application to the flow shop, Proc. of 1st International Conference on Evolutionary Multi-Criterion Optimization (2001) 416–428.

    Google Scholar 

  23. Whitley, D.: Cellular genetic algorithms, Proc. of 5th International Conference on Genetic Algorithms (1993) 658.

    Google Scholar 

  24. Manderick, B. and Spiessens, P.: Fine-grained parallel genetic algorithms, Proc. of 3rd International Conference on Genetic Algorithms (1989) 428–433.

    Google Scholar 

  25. Murata, T., Ishibuchi, H. and Gen, M.: Specification of genetic search directions in cellular multi-objective genetic algorithms, Proc. of First International Conference on Evolutionary multi-criterion optimization (2001) 82–95.

    Google Scholar 

  26. Deb, K.: Multi-Objective Optimization Using Evolutionary Algorithms, John Wiley & Sons, Chichester (2001).

    MATH  Google Scholar 

  27. Ishibuchi, H, Nozaki, K. and Tanaka, H.: Distributed representation of fuzzy rules and its application to pattern classification, Fuzzy Sets and Systems 52 (1992) 21–32.

    Article  Google Scholar 

  28. Hammerstrom, D.: Neural networks at work, IEEE Spectrum June (1993) 26–32.

    Google Scholar 

  29. Hammerstrom, D.: Working with neural networks, IEEE Spectrum July (1993) 46–53.

    Google Scholar 

  30. Quinlan, J.R.: Introduction of decision trees, Machine Learning 1 (1985) 71–99.

    Google Scholar 

  31. Murata, T. and Ishibuchi, H.: MOGA: Multi-objective genetic algorithms, Proc. of The 2nd IEEE International Conference on Evolutionary Computing (1995) 289–294.

    Google Scholar 

  32. Murata, T., Ishibuchi, H. and Gen, M.: Specification of genetic search directions in cellular multi-objective genetic algorithms, Proc. of First International Conference on Evolutionary multi-criterion optimization (2001) 82–95.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Murata, T., Nozawa, H., Ishibuchi, H., Gen, M. (2003). Modification of Local Search Directions for Non-dominated Solutions in Cellular Multiobjective Genetic Algorithms for Pattern Classification Problems. In: Fonseca, C.M., Fleming, P.J., Zitzler, E., Thiele, L., Deb, K. (eds) Evolutionary Multi-Criterion Optimization. EMO 2003. Lecture Notes in Computer Science, vol 2632. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36970-8_42

Download citation

  • DOI: https://doi.org/10.1007/3-540-36970-8_42

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-01869-8

  • Online ISBN: 978-3-540-36970-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics