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Families of relations modelling preferences under incomplete information


  • Mousset, Céline


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

    1. Ellison, Glenn & Glaeser, Edward L, 1997. "Geographic Concentration in U.S. Manufacturing Industries: A Dartboard Approach," Journal of Political Economy, University of Chicago Press, vol. 105(5), pages 889-927, October.
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    3. Henderson, Vernon, 1997. "Externalities and Industrial Development," Journal of Urban Economics, Elsevier, vol. 42(3), pages 449-470, November.
    4. Salazar-Gonzalez, Juan-Jose, 2004. "Mathematical models for applying cell suppression methodology in statistical data protection," European Journal of Operational Research, Elsevier, vol. 154(3), pages 740-754, May.
    5. Gerald Carlino & Satyajit Chatterjee, 2002. "Employment Deconcentration: A New Perspective on America's Postwar Urban Evolution," Journal of Regional Science, Wiley Blackwell, vol. 42(3), pages 445-475.
    6. Matteo Fischetti & Juan José Salazar, 2001. "Solving the Cell Suppression Problem on Tabular Data with Linear Constraints," Management Science, INFORMS, vol. 47(7), pages 1008-1027, July.
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    Cited by:

    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.
    2. repec:hal:journl:halshs-00625708 is not listed on IDEAS


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