Multiobjective Optimization, Scalarization, and Maximal Elements of Preorders

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 usi...

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Bibliographic Details
Main Authors: Paolo Bevilacqua, Gianni Bosi, Magalì Zuanon
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2018/3804742