Incorporating Preference Information in Interactive Reference Point Methods for Multiobjective Optimization
2009 (English)In: Omega, ISSN 0030-2228, Vol. 37, no 2, 450-462 p.Article in journal (Refereed) Published
In this paper, we introduce new ways of utilizing preference information specified by the decision maker in interactive reference point based methods. A reference point consists of desirable values for each objective function. The idea is to take the desires of the decision maker into account more closely when projecting the reference point onto the set of nondominated solutions. 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 identify different cases depending on the amount of additional information available and demonstrate the cases with examples. Finally, we summarize results of extensive computational tests that give evidence of the efficiency of the ideas proposed.
Place, publisher, year, edition, pages
2009. Vol. 37, no 2, 450-462 p.
Multicriteria, Decision making/process, Multiple objectives, Interactive methods, Weights
Computer and Information Science Mathematics
IdentifiersURN: urn:nbn:se:kth:diva-82717DOI: 10.1016/j.omega.2007.06.001ISI: 000259731200015OAI: oai:DiVA.org:kth-82717DiVA: diva2:498541
QC 201202192012-02-122012-02-122012-02-19Bibliographically approved