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- W2302215652 abstract "We give the exact upper and lower bounds of the Möbius inverse of monotone and normalized set functions (a.k.a. normalized capacities) on a finite set of n elements. We find that the absolute value of the bounds tend to 4n/2πn/2 when n is large. We establish also the exact bounds of the interaction transform and Banzhaf interaction transform, as well as the exact bounds of the Möbius inverse for the subfamilies of k-additive normalized capacities and p-symmetric normalized capacities." @default.
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- W2302215652 date "2015-05-01" @default.
- W2302215652 modified "2023-10-01" @default.
- W2302215652 title "Exact bounds of the Möbius inverse of monotone set functions" @default.
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- W2302215652 doi "https://doi.org/10.1016/j.dam.2015.01.016" @default.
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