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Following the traces:: An introduction to conjoint measurement without transitivity and additivity

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  • Bouyssou, Denis
  • Pirlot, Marc

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  • Bouyssou, Denis & Pirlot, Marc, 2005. "Following the traces:: An introduction to conjoint measurement without transitivity and additivity," European Journal of Operational Research, Elsevier, vol. 163(2), pages 287-337, June.
    • Handle: RePEc:eee:ejores:v:163:y:2005:i:2:p:287-337
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    1. Gilboa, Itzhak & Lapson, Robert, 1995. "Aggregation of Semiorders: Intransitive Indifference Makes a Difference," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(1), pages 109-126, January.
    2. Vind, Karl, 1991. "Independent preferences," Journal of Mathematical Economics, Elsevier, vol. 20(1), pages 119-135.
    3. Bouyssou, Denis & Pirlot, Marc, 2005. "A characterization of concordance relations," European Journal of Operational Research, Elsevier, vol. 167(2), pages 427-443, December.
    4. Porath Elchanan Ben & Gilboa Itzhak, 1994. "Linear Measures, the Gini Index, and The Income-Equality Trade-off," Journal of Economic Theory, Elsevier, vol. 64(2), pages 443-467, December.
    5. Ben-Porath, Elchanan & Gilboa, Itzhak & Schmeidler, David, 1997. "On the Measurement of Inequality under Uncertainty," Journal of Economic Theory, Elsevier, vol. 75(1), pages 194-204, July.
    6. Ebert, Udo, 1985. "Non-transitive representations of transitive orderings," Economics Letters, Elsevier, vol. 18(2-3), pages 109-112.
    7. Bouyssou, Denis, 1986. "Some remarks on the notion of compensation in MCDM," European Journal of Operational Research, Elsevier, vol. 26(1), pages 150-160, July.
    8. Fishburn, Peter C., 1990. "Continuous nontransitive additive conjoint measurement," Mathematical Social Sciences, Elsevier, vol. 20(2), pages 165-193, October.
    9. Denis Bouyssou & Marc Pirlot, 2002. "Nontransitive Decomposable Conjoint Measurement," Post-Print hal-02361942, HAL.
    10. Fuad Aleskerov & Denis Bouyssou & Bernard Monjardet, 2007. "Utility Maximization, Choice and Preference," Springer Books, Springer, edition 0, number 978-3-540-34183-3, January.
    11. Weymark, John A., 1981. "Generalized gini inequality indices," Mathematical Social Sciences, Elsevier, vol. 1(4), pages 409-430, August.
    12. Denis Bouyssou, 1990. "Building Criteria: A Prerequisite for MCDA," Post-Print hal-02920174, HAL.
    13. F J Anscombe & R J Aumann, 2000. "A Definition of Subjective Probability," Levine's Working Paper Archive 7591, David K. Levine.
    14. Mak, King-Tim, 1984. "Notes on separable preferences," Journal of Economic Theory, Elsevier, vol. 33(2), pages 309-321, August.
    15. Greco, Salvatore & Matarazzo, Benedetto & Slowinski, Roman, 2001. "Rough sets theory for multicriteria decision analysis," European Journal of Operational Research, Elsevier, vol. 129(1), pages 1-47, February.
    16. Fishburn, Peter C., 1990. "Additive non-transitive preferences," Economics Letters, Elsevier, vol. 34(4), pages 317-321, December.
    17. Wakker, Peter, 1988. "Derived strengths of preference relations on coordinates," Economics Letters, Elsevier, vol. 28(4), pages 301-306.
    18. Fishburn, Peter C, 1991. "Nontransitive Preferences in Decision Theory," Journal of Risk and Uncertainty, Springer, vol. 4(2), pages 113-134, April.
    19. Fuhrken, Gebhard & Richter, Marcel K, 1991. "Additive Utility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(1), pages 83-105, January.
    20. Bouyssou, Denis & Pirlot, Marc, 2004. "A note on Wakker's Cardinal Coordinate Independence," Mathematical Social Sciences, Elsevier, vol. 48(1), pages 11-22, July.
    21. Fishburn, Peter C., 1992. "On nonstandard nontransitive additive utility," Journal of Economic Theory, Elsevier, vol. 56(2), pages 426-433, April.
    22. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    23. Denis Bouyssou & Jean-Claude Vansnick, 1986. "Noncompensatory and generalized noncompensatory preference structures," Post-Print hal-02920182, HAL.
    24. Peter C. Fishburn, 1970. "Intransitive Indifference in Preference Theory: A Survey," Operations Research, INFORMS, vol. 18(2), pages 207-228, April.
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    Cited by:

    1. Tsoukias, Alexis, 2008. "From decision theory to decision aiding methodology," European Journal of Operational Research, Elsevier, vol. 187(1), pages 138-161, May.
    2. Bouyssou, Denis & Pirlot, Marc, 2009. "An axiomatic analysis of concordance-discordance relations," European Journal of Operational Research, Elsevier, vol. 199(2), pages 468-477, December.
    3. Simone Cerreia-Vioglio & Alfio Giarlotta & Salvatore Greco & Fabio Maccheroni & Massimo Marinacci, 2020. "Rational preference and rationalizable choice," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(1), pages 61-105, February.
    4. Nobuo Koida, 2021. "Intransitive indifference with direction-dependent sensitivity," KIER Working Papers 1061, Kyoto University, Institute of Economic Research.
    5. Bouyssou, Denis & Marchant, Thierry, 2013. "Multiattribute preference models with reference points," European Journal of Operational Research, Elsevier, vol. 229(2), pages 470-481.
    6. Denis Bouyssou & Marc Pirlot, 2015. "A consolidated approach to the axiomatization of outranking relations: a survey and new results," Annals of Operations Research, Springer, vol. 229(1), pages 159-212, June.
    7. Lemnaouar Zedam & Hamza Boughambouz & Bernard De Baets, 2024. "Traces of Ternary Relations Based on Bandler–Kohout Compositions," Mathematics, MDPI, vol. 12(7), pages 1-17, March.

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