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arXiv · 1107.3265

On distance distribution functions-valued submeasures related to aggregation functions

Lenka Halčinová·Ondrej Hutník·Radko Mesiar
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Abstract

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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Lenka Halčinová, Ondrej Hutník, Radko Mesiar. 2011-07-17. On distance distribution functions-valued submeasures related to aggregation functions. https://doi.org/10.1016/j.fss.2011.12.019

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