On scalarizing functions in multiobjective optimization
type: Item
instance of: scholarly article
title: On scalarizing functions in multiobjective optimization
zbMATH Open document ID: 1040.90037
author: Marko M. Mäkelä
author: Kaisa Miettinen
published in: OR Spectrum
publication date: 2003-05-04T00:00:00Z
review text: A common approach to solve a multiobjective optimization problem is the use of scalarizing functions. Many different scalarizing functions have been suggested in the literature based of different methods. This paper concerns on the classification and reference point-based functions and presents a collection of functions that have been used in interactive methods as well as some modifications. Among the scalarizing functions we mention that used in the step method, in the satisficing trade-off method, the achievement function introduced by Wierzbicki, in the naive method, in the NINBUS method and others. The authors also compare the theoretical properties and numerical behaviour of such scalarizing functions.
Mathematics Subject Classification ID: 90C29
Mathematics Subject Classification ID: 90C26
Mathematics Subject Classification ID: 90C90
zbMATH DE Number: 1903680
reviewed by: Fabián Flores-Bazan
describes a project that uses: NIMBUS
MaRDI profile type: Publication
full work available at URL: s00291-001-0092-9
OpenAlex ID: W2090218528
Wikidata QID: Q109315038
DOI: 10.1007/S00291-001-0092-9
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description: scientific article; zbMATH DE number 1903680