On ordered weighted averaging aggregation operators in multicriteria decisionmaking
IEEE Transactions on Systems, Man and Cybernetics
Some quantities represented by the Choquet integral
Fuzzy Sets and Systems
Fuzzy integral in multicriteria decision making
Fuzzy Sets and Systems - Special issue on fuzzy information processing
The balancing Choquet integral
Fuzzy Sets and Systems
Hesitant fuzzy geometric Bonferroni means
Information Sciences: an International Journal
Choquet integral on the real line as a generalization of the OWA operator
MDAI'12 Proceedings of the 9th international conference on Modeling Decisions for Artificial Intelligence
Fuzzy Sets and Systems
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Classical extensions of the Choquet integral (defined on [0,1]) to [-1,1] are the asymmetric and the symmetric Choquet integral, the second one being called also the Sipos integral. Recently, the balancing Choquet integral was introduced as another kind of a symmetric extension of the discrete Choquet integral. We introduce and discuss a new type of such extension, the fusion Choquet integral, and discuss its properties and relationship to the balancing and the symmetric Choquet integral. The symmetric maximum introduced by Grabisch is shown to be a special case of the fusion and the balancing Choquet integral. Several extensions of OWA operators are also discussed.