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2018 Multiobjective Optimization, Scalarization, and Maximal Elements of Preorders
Paolo Bevilacqua, Gianni Bosi, Magalì Zuanon
Abstr. Appl. Anal. 2018: 1-6 (2018). DOI: 10.1155/2018/3804742

Abstract

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.

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Paolo Bevilacqua. Gianni Bosi. Magalì Zuanon. "Multiobjective Optimization, Scalarization, and Maximal Elements of Preorders." Abstr. Appl. Anal. 2018 1 - 6, 2018. https://doi.org/10.1155/2018/3804742

Information

Received: 31 July 2017; Accepted: 17 December 2017; Published: 2018
First available in Project Euclid: 14 February 2018

zbMATH: 06929584
MathSciNet: MR3762137
Digital Object Identifier: 10.1155/2018/3804742

Rights: Copyright © 2018 Hindawi

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