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On the Use of Preferential Weights in Interactive Reference Point Based Methods
University of Jyväskylä.
Helsinki School of Economics.
University of Malaga.
University of Malaga.
2009 (English)In: Multiobjective Programming and Goal Programming: Theoretical Results and Practical Applications / [ed] V. Barichard, M. Ehrgott, X. Gandibleux, V. T'kindt, Springer Berlin/Heidelberg, 2009, 211-220 p.Conference paper (Refereed)
Abstract [en]

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.

Place, publisher, year, edition, pages
Springer Berlin/Heidelberg, 2009. 211-220 p.
, Lecture Notes in Economics and Mathematical Systems, ISSN 0075-8442 ; 618
Keyword [en]
Interactive methods, Multiple objectives, Multiobjective optimization, Multiobjective programming, Preferences, Reference point methods
National Category
Economics and Business Computer and Information Science
URN: urn:nbn:se:kth:diva-82926DOI: 10.1007/978-3-540-85646-7_20ISI: 000267800600020ISBN: 978-354085645-0OAI: diva2:498590
7th Multi-Objective Programming and Goal Programming Conference Location: Tours, France Date: JUN 12-14, 2006
QC 20120227Available from: 2012-02-12 Created: 2012-02-12 Last updated: 2012-02-27Bibliographically approved

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Miettinen, Kaisa
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