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Multicriteria Group Choice via Majority Preference Relation Based on Cone Individual Preference Relations

In: Operations Research Proceedings 2014

Author

Listed:
  • Alexey Zakharov

    (Saint-Petersburg State University Universitetskii pr., 35)

Abstract

A multicriteria group choiceZakharov, Alexey problem that is considered in the article includes: a set of feasible decisions; a vector criterion reflecting general goals of a group of Decision Makers (DMs); asymmetric binary relations of DMs, which reflect individual preferences. Individual preferences are given by “quanta” of information, which indicate a compromise between two components of vector criterion. A majority preference relation is also considered. It is proved that such majority relation is a cone one, and the cone, generally speaking, is not convex. The property of convex is equivalent to transitivity of the corresponding relation. The goal of the research is to construct a convex part of a majority preference relation cone, which gives a transitive part of this relation. The case of group of three DMs and three components of criteria is considered. It is shown how to specify a convex part of a majority preference relation cone, and construct a set of nondominated vectors.

Suggested Citation

  • Alexey Zakharov, 2016. "Multicriteria Group Choice via Majority Preference Relation Based on Cone Individual Preference Relations," Operations Research Proceedings, in: Marco Lübbecke & Arie Koster & Peter Letmathe & Reinhard Madlener & Britta Peis & Grit Walther (ed.), Operations Research Proceedings 2014, edition 1, pages 649-655, Springer.
    • Handle: RePEc:spr:oprchp:978-3-319-28697-6_90
    DOI: 10.1007/978-3-319-28697-6_90
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