On distance distribution functions-valued submeasures related to aggregation functions
classification
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math.PR
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submeasuresprobabilisticaggregationclassesfunctionssomealgebraicattention
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Probabilistic submeasures generalizing the classical (numerical) submeasures are introduced and discussed in connection with some classes of aggregation functions. A special attention is paid to triangular norm-based probabilistic submeasures and semi-copula-based probabilistic submeasures. Some algebraic properties of classes of such submeasures are also studied.
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