On quasi-orderings and multi-objective functions

In the paper the relationship between quasi-orderings (i.e. transitive and reflexive relations) and multi-objective functions (i.e. functions being a finite vector of continuous value functions) is investigated. A characterization of quasi-orderings representable by multi-objective functions is give...

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Bibliographic Details
Published inEuropean journal of operational research Vol. 177; no. 3; pp. 1591 - 1598
Main Author Kaminski, B.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 16.03.2007
Elsevier
Elsevier Sequoia S.A
SeriesEuropean Journal of Operational Research
Subjects
Correlation analysis
Functions
Multi-objective function
Preference representation
Preferences
Quasi-ordering
Stochastic models
Studies
Uncertainty modeling
Multi-objective function
Preference representation
Quasi-ordering
Uncertainty modeling
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Summary:In the paper the relationship between quasi-orderings (i.e. transitive and reflexive relations) and multi-objective functions (i.e. functions being a finite vector of continuous value functions) is investigated. A characterization of quasi-orderings representable by multi-objective functions is given. Within the introduced theoretical framework it is, in particular, shown that preferences implied by a first order stochastic dominance relation cannot be represented by multi-objective functions.
ISSN:0377-2217
1872-6860
DOI:10.1016/j.ejor.2005.10.015