Belief structures, possibility theory and decomposable confidence measures on finite sets
Computers and Artificial Intelligence
On fuzzy measure and fuzzy integral on fuzzy set
Fuzzy Sets and Systems
Measures of uncertainty in expert systems
Artificial Intelligence
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
Fundamentals of Uncertainty Calculi with Applications to Fuzzy Inference
Fundamentals of Uncertainty Calculi with Applications to Fuzzy Inference
Aggregation operators: properties, classes and construction methods
Aggregation operators
An investigation of ideals in the set of fuzzy measures
Fuzzy Sets and Systems
Aggregation functions with stronger types of monotonicity
IPMU'10 Proceedings of the Computational intelligence for knowledge-based systems design, and 13th international conference on Information processing and management of uncertainty
Ultramodular aggregation functions
Information Sciences: an International Journal
Aggregation-based extensions of fuzzy measures
Fuzzy Sets and Systems
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The paper contains some results on eventwise aggregation of fuzzy measures from the various families of lower probabilities. This investigation includes coherent lower probabilities, k-monotone measures', belief measures, etc. We study sufficient and necessary conditions on aggregation operators satisfying the closure property: it is necessary to guarantee that the aggregation belongs to the same family, as generating measures. We also propose an efficient way for constructing aggregation operators, using the found unique properties of multilinear extension. This representation method for fuzzy measures generalizes to the n-dimensional case the well-known one giving distorted probabilities.