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Relational Systems of Preference with One or More Pseudo-Criteria: Some New Concepts and Results


  • B. Roy

    (LAMSADE, Universite de Paris Dauphine, Place du Marechal de Lattre de Tassigny, 75775 Paris Cedex 16, France)

  • Ph. Vincke

    (Universite Libre de Bruxelles, CP210, Boulevard du Triomphe, B1050 Brussels, Belgium)


This paper proposes new concepts and new results which could lead to a more realistic preference modeling than in classical decision theory. Sections 1--3 present four fundamental situations of preferences, their combinations and the concept of relational system of preferences. In §4, a particular case of relational system of preference is studied. It is associated with the concept of pseudo-criterion derived from the classical concept of criterion by adjunction of two thresholds. Some results are given, generalizing the properties of such well-known structures as complete preorders and semiorders. Sections 5 and 6 emphasize the possibilities given by the preceding concepts to take the imprecisions, irresolutions and incomparabilities appearing in every concrete problem where several criteria must be considered into account.

Suggested Citation

  • B. Roy & Ph. Vincke, 1984. "Relational Systems of Preference with One or More Pseudo-Criteria: Some New Concepts and Results," Management Science, INFORMS, vol. 30(11), pages 1323-1335, November.
  • Handle: RePEc:inm:ormnsc:v:30:y:1984:i:11:p:1323-1335

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    References listed on IDEAS

    1. Ian I. Mitroff, 1972. "The Myth of Objectivity OR Why Science Needs a New Psychology of Science," Management Science, INFORMS, vol. 18(10), pages 613-618, June.
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    1. Bentes, Alexandre Veronese & Carneiro, Jorge & da Silva, Jorge Ferreira & Kimura, Herbert, 2012. "Multidimensional assessment of organizational performance: Integrating BSC and AHP," Journal of Business Research, Elsevier, vol. 65(12), pages 1790-1799.
    2. Gal, Tomas & Hanne, Thomas, 2006. "Nonessential objectives within network approaches for MCDM," European Journal of Operational Research, Elsevier, vol. 168(2), pages 584-592, January.
    3. Govindan, Kannan & Jepsen, Martin Brandt, 2016. "ELECTRE: A comprehensive literature review on methodologies and applications," European Journal of Operational Research, Elsevier, vol. 250(1), pages 1-29.
    4. Hokkanen, Joonas & Salminen, Pekka, 1997. "Choosing a solid waste management system using multicriteria decision analysis," European Journal of Operational Research, Elsevier, vol. 98(1), pages 19-36, April.
    5. Santha Chenayah & Eiji Takeda, 2005. "Eigenvector Procedure based on Weighted Preference Flows in Multicriteria Outranking Analysis," Discussion Papers in Economics and Business 05-22, Osaka University, Graduate School of Economics and Osaka School of International Public Policy (OSIPP).
    6. Li, Hui & Sun, Jie, 2009. "Hybridizing principles of the Electre method with case-based reasoning for data mining: Electre-CBR-I and Electre-CBR-II," European Journal of Operational Research, Elsevier, vol. 197(1), pages 214-224, August.
    7. Almeida-Dias, J. & Figueira, J.R. & Roy, B., 2010. "Electre Tri-C: A multiple criteria sorting method based on characteristic reference actions," European Journal of Operational Research, Elsevier, vol. 204(3), pages 565-580, August.
    8. Vetschera, Rudolf, 1991. "A preference-preserving projection technique for MCDM," Discussion Papers, Series I 256, University of Konstanz, Department of Economics.
    9. Gal, Tomas & Hanne, Thomas, 1999. "Consequences of dropping nonessential objectives for the application of MCDM methods," European Journal of Operational Research, Elsevier, vol. 119(2), pages 373-378, December.
    10. Mousseau, Vincent & Figueira, Jose & Dias, Luis & Gomes da Silva, Carlos & Climaco, Joao, 2003. "Resolving inconsistencies among constraints on the parameters of an MCDA model," European Journal of Operational Research, Elsevier, vol. 147(1), pages 72-93, May.
    11. Hop, Nguyen Van, 2006. "A heuristic solution for fuzzy mixed-model line balancing problem," European Journal of Operational Research, Elsevier, vol. 168(3), pages 798-810, February.
    12. Kalaı¨, Rim & Lamboray, Claude & Vanderpooten, Daniel, 2012. "Lexicographic α-robustness: An alternative to min–max criteria," European Journal of Operational Research, Elsevier, vol. 220(3), pages 722-728.
    13. Dias, Luis & Mousseau, Vincent & Figueira, Jose & Climaco, Joao, 2002. "An aggregation/disaggregation approach to obtain robust conclusions with ELECTRE TRI," European Journal of Operational Research, Elsevier, vol. 138(2), pages 332-348, April.
    14. Buyukozkan, G.Gulcin & Feyzioglu, Orhan, 2004. "A fuzzy-logic-based decision-making approach for new product development," International Journal of Production Economics, Elsevier, vol. 90(1), pages 27-45, July.
    15. Mousseau, V. & Figueira, J. & Naux, J. -Ph., 2001. "Using assignment examples to infer weights for ELECTRE TRI method: Some experimental results," European Journal of Operational Research, Elsevier, vol. 130(2), pages 263-275, April.
    16. Roy, B. & Figueira, J.R. & Almeida-Dias, J., 2014. "Discriminating thresholds as a tool to cope with imperfect knowledge in multiple criteria decision aiding: Theoretical results and practical issues," Omega, Elsevier, vol. 43(C), pages 9-20.
    17. Philippe Vincke, 1994. "Recent progresses in Multicriteria Decision-Aid," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 17(2), pages 21-32, September.
    18. Leger, Julien & Martel, Jean-Marc, 2002. "A multicriteria assignment procedure for a nominal sorting problematic," European Journal of Operational Research, Elsevier, vol. 138(2), pages 349-364, April.

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    preference; decision; pseudo-criteria; semiorder;


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