International audienceIn this paper, we present a decision-aid method with interacting criteria. The fuzzy measures used to aggregate the criteriadepend on the considered alternatives. Pairwise comparisons on the importance of criteria and some levels of veto (or favor)degrees, specified by the decision maker, are taken into consideration. For each alternative, we search for the fuzzy measurethat makes it the best. The orness degrees of the resulting fuzzy measures are compared and the alternative associated withthe minimum orness degree is selected
Ben Abdelaziz et al. (2008) have shown that any non-dictatorial fuzzy social choice function is vulnerable to strategic manipulation, when individuals express their preferences trough fuzzy weak relations on the set of alternatives. This paper proposes a new definition of fuzzy manipulability and dictatorship of fuzzy social choice functions. For this purpose, the decomposition of fuzzy weak relations in terms of symmetric and regular components is considered and a parallel result is provided. The proof is done by induction on the number of individuals.
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