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Leximin optimality and fuzzy set-theoretic operations

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  • Dubois, Didier
  • Fortemps, Philippe
  • Pirlot, Marc
  • Prade, Henri

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  • Dubois, Didier & Fortemps, Philippe & Pirlot, Marc & Prade, Henri, 2001. "Leximin optimality and fuzzy set-theoretic operations," European Journal of Operational Research, Elsevier, vol. 130(1), pages 20-28, April.
  • Handle: RePEc:eee:ejores:v:130:y:2001:i:1:p:20-28
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    References listed on IDEAS

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    1. R. E. Bellman & L. A. Zadeh, 1970. "Decision-Making in a Fuzzy Environment," Management Science, INFORMS, vol. 17(4), pages 141-164, December.
    2. Alois Behringer, Fred, 1981. "A simplex based algorithm for the lexicographically extended linear maxmin problem," European Journal of Operational Research, Elsevier, vol. 7(3), pages 274-283, July.
    3. Dubois, Didier & Fortemps, Philippe, 1999. "Computing improved optimal solutions to max-min flexible constraint satisfaction problems," European Journal of Operational Research, Elsevier, vol. 118(1), pages 95-126, October.
    4. Peter C. Fishburn, 1974. "Exceptional Paper--Lexicographic Orders, Utilities and Decision Rules: A Survey," Management Science, INFORMS, vol. 20(11), pages 1442-1471, July.
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    Cited by:

    1. Mesiar, R., 2007. "Fuzzy set approach to the utility, preference relations, and aggregation operators," European Journal of Operational Research, Elsevier, vol. 176(1), pages 414-422, January.
    2. Kostreva, Michael M. & Ogryczak, Wlodzimierz & Wierzbicki, Adam, 2004. "Equitable aggregations and multiple criteria analysis," European Journal of Operational Research, Elsevier, vol. 158(2), pages 362-377, October.
    3. Dubois, D. & Fortemps, Ph., 2005. "Selecting preferred solutions in the minimax approach to dynamic programming problems under flexible constraints," European Journal of Operational Research, Elsevier, vol. 160(3), pages 582-598, February.
    4. Ogryczak, Wlodzimierz & Sliwinski, Tomasz, 2003. "On solving linear programs with the ordered weighted averaging objective," European Journal of Operational Research, Elsevier, vol. 148(1), pages 80-91, July.

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