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

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

A chapter in Operations Research Proceedings 2014, 2016, pp 649-655 from Springer

Abstract: 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.

Keywords: Majority Preference Relation; Multicriteria Group; Group Choice; Transitional Part; Vector Criterion (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:oprchp:978-3-319-28697-6_90

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DOI: 10.1007/978-3-319-28697-6_90

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