Multiobjective optimization, scalarization, and maximal elements of preorders
type: Item
instance of: scholarly article
title: Multiobjective optimization, scalarization, and maximal elements of preorders
zbMATH Open document ID: 1470.90112
DOI: 10.1155/2018/3804742
author: Paolo Bevilacqua
author: Gianni Bosi
author: Magalì E. Zuanon
published in: Abstract and Applied Analysis
publication date: 2018-08-30T00:00:00Z
review text: Summary: We characterize the existence of (weak) Pareto optimal solutions to the classical multiobjective optimization problem by referring to the naturally associated preorders and their finite (Richter-Peleg) multiutility representation. The case of a compact design space is appropriately considered by using results concerning the existence of maximal elements of preorders. The possibility of reformulating the multiobjective optimization problem for determining the weak Pareto optimal solutions by means of a scalarization procedure is finally characterized.
Mathematics Subject Classification ID: 90C29
zbMATH DE Number: 6929584
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/3804742
OpenAlex ID: W2786417269
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description: scientific article; zbMATH DE number 6929584