On ordered weighted averaging aggregation operators in multicriteria decisionmaking
IEEE Transactions on Systems, Man and Cybernetics
Fuzzy integral in multicriteria decision making
Fuzzy Sets and Systems - Special issue on fuzzy information processing
A remark on the arithmetic mean of an infinite sequence
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Basic generated universal fuzzy measures
International Journal of Approximate Reasoning
Aggregation of infinite sequences
Information Sciences: an International Journal
Dependence of densities on a parameter
Information Sciences: an International Journal
Aggregation Functions (Encyclopedia of Mathematics and its Applications)
Aggregation Functions (Encyclopedia of Mathematics and its Applications)
On the probabilistic Hausdorff distance and a class of probabilistic decomposable measures
Information Sciences: an International Journal
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While both additive and symmetric fuzzy measures on a finite universe are completely described by a probability distribution vector, this is no more the case of a countably infinite universe. After a brief discussion of additive fuzzy measures on positive integers, we characterize all symmetric fuzzy measures on integers by means of three constants and of two probability distribution vectors. OWA operators for n arguments were introduced by Yager in 1988. Grabisch in 1995 has shown representation of OWA operators by means of Choquet integral with respect to symmetric normed capacities. Based on symmetric capacities on positive integers, we extend the concept of OWA operators to infinitary sequences and thus we develop the concept of infinitary OWA operators.