An axiomatic approach to approximate solutions in multiobjective optimization

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

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


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.
Original languageEnglish
Pages (from-to)95-115
Number of pages21
JournalDecisions in Economics and Finance
Publication statusPublished - 2008


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


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