Abstract
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.
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Chateauneuf, A., Jaffray, JY. (1987). Derivation of some results on monotone capacities by Mobius inversion. In: Bouchon, B., Yager, R.R. (eds) Uncertainty in Knowledge-Based Systems. IPMU 1986. Lecture Notes in Computer Science, vol 286. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-18579-8_8
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DOI: https://doi.org/10.1007/3-540-18579-8_8
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