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1987 | ReviewPaper | Buchkapitel

Derivation of some results on monotone capacities by Mobius inversion

verfasst von : Alain Chateauneuf, Jean-Yves Jaffray

Erschienen in: Uncertainty in Knowledge-Based Systems

Verlag: Springer Berlin Heidelberg

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Monotone capacities are characterized by properties of their Möbius inverses. A necessary property of probabilities dominating a given capacity is given. It is shown to be also sufficient if and only if the capacity is monotone of infinite order. A characterization of dominating probabilities specific to capacities or order 2 is also proved.

Metadaten
Titel
Derivation of some results on monotone capacities by Mobius inversion
verfasst von
Alain Chateauneuf
Jean-Yves Jaffray
Copyright-Jahr
1987
Verlag
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/3-540-18579-8_8

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