An axiomatic approach to approximate solutions in multiobjective optimization

Enrico Miglierina, E. Miglierina, E. Molho, F. Patrone, S. H. Tijs

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

4 Citazioni (Scopus)

Abstract

An axiomatic approach is introduced in order to study the approximate solution map of a vector optimization problem in the image space. We investigate the possibility to formulate an appropriate notion of approximate solutions that is compatible with von Neumann–Morgenstern utility theory. An impossibility result is proved in the sense that, whenever all of the axioms are satisfied, either the set of the approximate solutions is a subset of the exact solutions of the problem, or it coincides with the whole admissible set. Moreover, the geometry of the approximate solution map is studied in some special cases.
Lingua originaleEnglish
pagine (da-a)95-115
Numero di pagine21
RivistaDecisions in Economics and Finance
Volume31
DOI
Stato di pubblicazionePubblicato - 2008

Keywords

  • Approximate solutions
  • Axiomatization
  • Multicriteria decision theory
  • Multiobjective optimization
  • Utility theory

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