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On the Use of Preferential Weights in Interactive Reference Point Based Methods

In: Multiobjective Programming and Goal Programming

Author

Listed:
  • Kaisa Miettinen

    (FI-40014 University of Jyväskylä)

  • Petri Eskelinen

    (Helsinki School of Economics)

  • Mariano Luque

    (University of Málaga)

  • Francisco Ruiz

    (University of Málaga)

Abstract

We introduce a new way of utilizing preference information specified by the decision maker in interactive reference point based methods. A reference point consists of aspiration levels for each objective function. We take the desires of the decision maker into account more closely when projecting the reference point to become nondominated. In this way we can support the decision maker in finding the most satisfactory solutions faster. In practice, we adjust the weights in the achievement scalarizing function that projects the reference point. We demonstrate our idea with an example and we summarize results of computational tests that support the efficiency of the idea proposed.

Suggested Citation

  • Kaisa Miettinen & Petri Eskelinen & Mariano Luque & Francisco Ruiz, 2009. "On the Use of Preferential Weights in Interactive Reference Point Based Methods," Lecture Notes in Economics and Mathematical Systems, in: Vincent Barichard & Matthias Ehrgott & Xavier Gandibleux & Vincent T'Kindt (ed.), Multiobjective Programming and Goal Programming, pages 211-220, Springer.
    • Handle: RePEc:spr:lnechp:978-3-540-85646-7_20
    DOI: 10.1007/978-3-540-85646-7_20
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    Citations

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    Cited by:

    1. Angelo Aliano Filho & Antonio Carlos Moretti & Margarida Vaz Pato & Washington Alves Oliveira, 2021. "An exact scalarization method with multiple reference points for bi-objective integer linear optimization problems," Annals of Operations Research, Springer, vol. 296(1), pages 35-69, January.
    2. Stelios Rozakis & Athanasios Kampas, 2022. "An interactive multi-criteria approach to admit new members in international environmental agreements," Operational Research, Springer, vol. 22(4), pages 3461-3487, September.
    3. Jiménez, Mariano & Bilbao-Terol, Amelia & Arenas-Parra, Mar, 2021. "Incorporating preferential weights as a benchmark into a Sequential Reference Point Method," European Journal of Operational Research, Elsevier, vol. 291(2), pages 575-585.

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