Alternative representations of discrete fuzzy measures for decision making
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems - Special issue on fuzzy measures and integrals in subjective evaluation
An axiomatic approach of the discrete Choquet integral as a tool to aggregate interacting criteria
IEEE Transactions on Fuzzy Systems
Robust optimization of the Choquet integral
Fuzzy Sets and Systems
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Preference modeling consists in constructing a preference relation from initial preferences given by a decision maker. We are interested in the preference relation obtained from the use of the Choquet integral. We give some properties related to the completeness of the necessary preference relation and its comparison with the traditional approach where the preference obtained from a unique fuzzy measure. Moreover, an axiomatization of the necessary and possibility preference relations is proposed.