Fuzzy integral in multicriteria decision making
Fuzzy Sets and Systems - Special issue on fuzzy information processing
On an axiomatization of the Banzhaf value without the additivity axiom
International Journal of Game Theory
k-order additive discrete fuzzy measures and their representation
Fuzzy Sets and Systems - Special issue on fuzzy measures and integrals
Equivalent Representations of Set Functions
Mathematics of Operations Research
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
Modeling interaction phenomena using fuzzy measures: on the notions of interaction and independence
Fuzzy Sets and Systems - Non-additive measures and random processes
An axiomatic approach of the discrete Choquet integral as a tool to aggregate interacting criteria
IEEE Transactions on Fuzzy Systems
The measure of interaction among players in games with fuzzy coalitions
Fuzzy Sets and Systems
Choquet integral with respect to Łukasiewicz filters, and its modifications
Information Sciences: an International Journal
Induced continuous Choquet integral operators and their application to group decision making
Computers and Industrial Engineering
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In the framework of multicriteria decision making based on fuzzy measures or cooperative game theory, an axiomatization of the concept of amount of interaction index is given. It is based on four axioms: a natural property called ''absence of interaction'', a boundary condition for which the index reduces to the Shapley or Banzhaf interaction index, a pseudo-additivity axiom, and a recursivity property. The resulting index, which can be interpreted as a measure of the average degree of independence among criteria or players, takes a particularly simple and natural form for supermodular or submodular measures. The approach to the notion of interaction adopted in this paper can be seen as complementary to that recently adopted by Grabisch and Roubens.