On ordered weighted averaging aggregation operators in multicriteria decisionmaking
IEEE Transactions on Systems, Man and Cybernetics
A unified approach to define fuzzy integrals
Fuzzy Sets and Systems
Some quantities represented by the Choquet integral
Fuzzy Sets and Systems
Alternative representations of OWA operators
The ordered weighted averaging operators
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
Discrete Applied Mathematics - Special issue on Boolean functions and related problems
An axiomatic approach of the discrete Choquet integral as a tool to aggregate interacting criteria
IEEE Transactions on Fuzzy Systems
On equivalence classes of fuzzy connectives-the case of fuzzy integrals
IEEE Transactions on Fuzzy Systems
Aggregation operators: properties, classes and construction methods
Aggregation operators
Approximations of Lovász extensions and their induced interaction index
Discrete Applied Mathematics
Weighted lattice polynomials of independent random variables
Discrete Applied Mathematics
Capturing and Using QoS Relationships to Improve Service Selection
CAiSE '08 Proceedings of the 20th international conference on Advanced Information Systems Engineering
Intuitionistic fuzzy Choquet integral operator for multi-criteria decision making
Expert Systems with Applications: An International Journal
On the use of the Choquet integral with fuzzy numbers in multiple criteria decision support
Fuzzy Sets and Systems
IFSA'03 Proceedings of the 10th international fuzzy systems association World Congress conference on Fuzzy sets and systems
AIKED'10 Proceedings of the 9th WSEAS international conference on Artificial intelligence, knowledge engineering and data bases
Expert Systems with Applications: An International Journal
Aggregation-based extensions of fuzzy measures
Fuzzy Sets and Systems
On mappings preserving measurability
Information Sciences: an International Journal
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The most often used operator to aggregate criteria in decision making problems is the classical weighted arithmetic mean. In many problems however, the criteria considered interact, and a substitute to the weighted arithmetic mean has to be adopted. Under rather natural conditions, the discrete Choquet integral is proved to be an adequate aggregation operator that extends the weighted arithmetic mean by the taking into consideration of the interaction among criteria. The axiomatic that supports the Choquet integral is presented and some subfamilies are studied.