Skip to main content

‘‘Whatever Works Best for You’’- A New Method for a Priori and Progressive Multi-objective Optimisation

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7811))

Abstract

Various multi-objective evolutionary algorithms (MOEAs) have been developed to help a decision maker (DM) search for his/her preferred solutions to multi-objective problems. However, none of these approaches has catered simultaneously for the two fundamental ways that DM can specify his/her preferences: weights and aspiration levels. In this paper, we propose an approach named iPICEA-g that allows the DM to specify his preference in either format. iPICEA-g is based on the preference-inspired co-evolutionary algorithm (PICEA-g). Solutions are guided toward regions of interest (ROIs) to the DM by co-evolving sets of goal vectors exclusively generated in the ROIs. Moreover, a friendly decision making technique is developed for interaction with the optimization process: the DM specifies his preferences easily by interactively brushing his preferred regions in the objective space. No direct elicitation of numbers is required, reducing the cognitive burden on DM. The performance of iPICEA-g is tested on a set of benchmark problems and is shown to be good.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Deb, K.: Multi-objective optimization using evolutionary algorithms, vol. 16. Wiley (2001)

    Google Scholar 

  2. Miettinen, K.: Nonlinear multiobjective optimization, vol. 12. Springer (1999)

    Google Scholar 

  3. Rachmawati, L., Srinivasan, D.: Preference Incorporation in Multi-objective Evolutionary Algorithms: A Survey. In: The 2006 IEEE Congress on Evolutionary Computation, pp. 962–968. IEEE (2006)

    Google Scholar 

  4. Deb, K., Kumar, A.: Interactive evolutionary multi-objective optimization and decision-making using reference direction method. In: GECCO 2007: Proceedings of the Genetic and Evolutionary Computation Conference, vol. 1. ACM, London (2007)

    Google Scholar 

  5. Deb, K., Kumar, A.: Light beam search based multi-objective optimization using evolutionary algorithms. In: The 2007 IEEE Congress on Evolutionary Computation, pp. 2125–2132. IEEE (2007)

    Google Scholar 

  6. Fonseca, C., Fleming, P.J.: Multiobjective optimization and multiple constraint handling with evolutionary algorithms. I. A unified formulation. IEEE Transactions on Systems, Man and Cybernetics, Part A: Systems and Humans 28(1), 26–37 (1998)

    Article  Google Scholar 

  7. Purshouse, R.C., Jalbă, C., Fleming, P.J.: Preference-Driven Co-evolutionary Algorithms Show Promise for Many-Objective Optimisation. In: Takahashi, R.H.C., Deb, K., Wanner, E.F., Greco, S. (eds.) EMO 2011. LNCS, vol. 6576, pp. 136–150. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  8. Wang, R., Purshouse, R.C., Fleming, P.J.: Preference-inspired Co-evolutionary Algorithms for Many-objective Optimisation. IEEE Transactions on Evolutionary Computation (to appear) (accepted)

    Google Scholar 

  9. Coello, C.: Handling preferences in evolutionary multiobjective optimization: A survey. In: The 2000 IEEE Congress on Evolutionary Computation, vol. 1, pp. 30–37. IEEE (2000)

    Google Scholar 

  10. Fonseca, C., Fleming, P.J.: Genetic algorithms for multiobjective optimization: Formulation discussion and generalization. In: Proceedings of the 5th International Conference on Genetic Algorithms, pp. 416–423. Morgan Kaufmann Publishers Inc. (1993)

    Google Scholar 

  11. Fonseca, C., Fleming, P.J.: Multiobjective optimization and multiple constraint handling with evolutionary algorithms. II. Application example. IEEE Transactions on Systems, Man and Cybernetics, Part A: Systems and Humans 28(1), 38–47 (1998)

    Article  Google Scholar 

  12. Fleming, P.J., Purshouse, R.C., Lygoe, R.J.: Many-Objective Optimization: An Engineering Design Perspective. In: Coello Coello, C.A., Hernández Aguirre, A., Zitzler, E. (eds.) EMO 2005. LNCS, vol. 3410, pp. 14–32. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  13. Molina, J., Santana, L.V., Hernández-Díaz, A.G., Coello Coello, C.A., Caballero, R.: g-dominance: Reference point based dominance for multiobjective metaheuristics. European Journal of Operational Research 197(2), 685–692 (2009)

    Article  MATH  Google Scholar 

  14. Said, L.B., Bechikh, S.: The r-dominance: a new dominance relation for interactive evolutionary multicriteria decision making. IEEE Transactions on Evolutionary Computation 14(5), 801–818 (2010)

    Article  Google Scholar 

  15. Branke, J.: Guidance in evolutionary multi-objective optimization. Advances in Engineering Software 32(6), 499–507 (2001)

    Article  MATH  Google Scholar 

  16. Deb, K., Sundar, J.: Reference point based multi-objective optimization using evolutionary algorithms. In: GECCO 2006: Proceedings of the Genetic and Evolutionary Computation Conference, pp. 635–642. ACM, New York (2006)

    Google Scholar 

  17. A preference-based evolutionary algorithm for multi-objective optimization. Evolutionary Computation 17(3), 411–436 (2009)

    Google Scholar 

  18. Wierzbicki, A.: The use of reference objectives in multiobjective optimization-theoretical implications and practical experiences. In: Proceedings of the Third Conference on Multiple Criteria Decision Making: Theory and Application, vol. 1979, p. 468. Springer, Hagen Konigswinter (1979)

    Google Scholar 

  19. Zitzler, E., Künzli, S.: Indicator-Based Selection in Multiobjective Search. In: Yao, X., Burke, E.K., Lozano, J.A., Smith, J., Merelo-Guervós, J.J., Bullinaria, J.A., Rowe, J.E., Tiňo, P., Kabán, A., Schwefel, H.-P. (eds.) PPSN VIII. LNCS, vol. 3242, pp. 832–842. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  20. Kaliszewski, I., Miroforidis, J., Podkopaev, D.: Interactive multiple criteria decision making based on preference driven evolutionary multiobjective optimization with controllable accuracy. European Journal of Operational Research 216(1), 188–199 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  21. Purshouse, R., Fleming, P.: Evolutionary many-objective optimisation: an exploratory analysis. In: The 2003 IEEE Congress on Evolutionary Computation, vol. 3, pp. 2066–2073. IEEE (2003)

    Google Scholar 

  22. Purshouse, R.C., Fleming, P.J.: On the Evolutionary Optimization of Many Conflicting Objectives. IEEE Transactions on Evolutionary Computation 11(6), 770–784 (2007)

    Article  Google Scholar 

  23. Lohn, J., Kraus, W., Haith, G.: Comparing a coevolutionary genetic algorithm for multiobjective optimization. In: The 2002 IEEE Congress on Evolutionary Computation, vol. 2, pp. 1157–1162. IEEE (2002)

    Google Scholar 

  24. Zitzler, E., Thiele, L.: Multiobjective evolutionary algorithms: A comparative case study and the strength pareto approach. IEEE Transactions on Evolutionary Computation 3(4), 257–271 (1999)

    Article  Google Scholar 

  25. Deb, K., Thiele, L., Laumanns, M., Zitzler, E.: Scalable multi-objective optimization test problems. In: The 2002 IEEE Congress on Evolutionary Computation, pp. 825–830. IEEE (2002)

    Google Scholar 

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

    Article  Google Scholar 

  27. Rachmawati, L., Srinivasan, D.: Incorporation of imprecise goal vectors into evolutionary multi-objective optimization. In: The 2010 IEEE Congress on Evolutionary Computation, pp. 1–8. IEEE (2010)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Wang, R., Purshouse, R.C., Fleming, P.J. (2013). ‘‘Whatever Works Best for You’’- A New Method for a Priori and Progressive Multi-objective Optimisation. In: Purshouse, R.C., Fleming, P.J., Fonseca, C.M., Greco, S., Shaw, J. (eds) Evolutionary Multi-Criterion Optimization. EMO 2013. Lecture Notes in Computer Science, vol 7811. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37140-0_27

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-37140-0_27

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-37139-4

  • Online ISBN: 978-3-642-37140-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics