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

  • Kaisa Miettinen
  • Petri Eskelinen
  • Mariano Luque
  • Francisco Ruiz
Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 618)


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.


Interactive methods Multiple objectives Multiobjective optimization Multiobjective programming Preferences Reference point methods 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Kaisa Miettinen
    • 1
  • Petri Eskelinen
    • 2
  • Mariano Luque
    • 3
  • Francisco Ruiz
    • 3
  1. 1.Department of Mathematical Information TechnologyFI-40014 University of JyväskyläFinland
  2. 2.Helsinki School of EconomicsHelsinkiFinland
  3. 3.University of MálagaMálagaSpain

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