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Families of relations modelling preferences under incomplete information

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  • Mousset, Céline

Abstract

Let us consider a preferential information of type preference-indifference-incomparability (P, I, J), with additional information about differences in attractiveness between pairs of alternatives. The present paper offers a theoretical framework for the study of the "level of constraint" of this kind of partial preferential information. It suggests a number of structures as potential models being less demanding than the classical one in which differences in utilities can be used to represent the comparison of differences in attractiveness. The models are characterized in the more general context of families of non-complete preference structures, according to two different perspectives (called "semantico-numerical" and "matrix"). Both perspectives open the door to further practical applications connected with elicitation of the preferences of a decision maker.

Suggested Citation

  • Mousset, Céline, 2009. "Families of relations modelling preferences under incomplete information," European Journal of Operational Research, Elsevier, vol. 192(2), pages 538-548, January.
    • Handle: RePEc:eee:ejores:v:192:y:2009:i:2:p:538-548
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    References listed on IDEAS

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    1. Carlos A. Bana e Costa & Jean-Marie Corte & Jean-Claude Vansnick, 2005. "On the Mathematical Foundation of MACBETH," International Series in Operations Research & Management Science, in: Multiple Criteria Decision Analysis: State of the Art Surveys, chapter 0, pages 409-437, Springer.
    2. JosÉ Figueira & Salvatore Greco & Matthias Ehrogott, 2005. "Multiple Criteria Decision Analysis: State of the Art Surveys," International Series in Operations Research and Management Science, Springer, number 978-0-387-23081-8, September.
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    1. Brice Mayag & Michel Grabisch & Christophe Labreuche, 2009. "A characterization of the 2-additive Choquet integral through cardinal information," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00445132, HAL.

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