OR Spectrum

, Volume 24, Issue 2, pp 193–213 | Cite as

On scalarizing functions in multiobjective optimization

  • Kaisa Miettinen
  • Marko M. Mäkelä
Original Paper

Abstract.

Scalarizing functions play an essential role in solving multiobjective optimization problems. Many different scalarizing functions have been suggested in the literature based on different approaches. Here we concentrate on classification and reference point-based functions. We present a collection of functions that have been used in interactive methods as well as some modifications. We compare their theoretical properties and numerical behaviour. In particular, we are interested in the relation between the information provided and the results obtained. Our aim is to select some of them to be used in our WWW-NIMBUS optimization system.

Key words: Multiple criteria decision making (MCDM) – Nonlinear optimization – Scalarizing function – Classification – Reference point 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Kaisa Miettinen
    • 1
  • Marko M. Mäkelä
    • 1
  1. 1.Department of Mathematical Information Technology, University of Jyväskylä, P.O. Box 35 (Agora), 40351 Jyväskylä, Finland (e-mail: {miettine,makela}@mit.jyu.fi) FI

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