Grabisch, MichelMiranda Menéndez, Pedro2023-06-182023-06-182015-05-110166-218X10.1016/j.dam.2015.01.016https://hdl.handle.net/20.500.14352/24085We give the exact upper and lower bounds of the Mobius 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 4(n/2)/root pi n/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 Mobius inverse for the subfamilies of k-additive normalized capacities and p-symmetric normalized capacities.engjournal articlehttp://www.sciencedirect.com/science/article/pii/S0166218X15000189http://arxiv.org/abs/1503.08550http://www.sciencedirect.com/restricted access519.2Möbius inverseMonotone set functionInteractionEstadística matemática (Matemáticas)1209 Estadística