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Article Dans Une Revue Fuzzy Optimization and Decision Making Année : 2014

On Arrow–Sen style equivalences between rationality conditions for fuzzy choice functions

Résumé

The Arrow–Sen Theorem establishes the equivalence between different rationality conditions for a choice function. In this contribution we deal with fuzzy versions of these rationality conditions and we study the connection between them. We recall results found in the literature and we prove that they are valid under weaker conditions. We also present new implications and counterexamples that show that our results cannot be obtained under weaker conditions
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Dates et versions

hal-02629912 , version 1 (27-05-2020)

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Davide Martinetti, Susana Montes, Susana Díaz, Bernard de Baets. On Arrow–Sen style equivalences between rationality conditions for fuzzy choice functions. Fuzzy Optimization and Decision Making, 2014, 13 (4), pp.369-396. ⟨10.1007/s10700-014-9187-z⟩. ⟨hal-02629912⟩

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