RT Journal Article
T1 Exact bounds of the Mobius inverse of monotone set functions
A1 Grabisch, Michel
A1 Miranda Menéndez, Pedro
AB We 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.
PB Elsevier
SN 0166-218X
YR 2015
FD 2015-05-11
LK https://hdl.handle.net/20.500.14352/24085
UL https://hdl.handle.net/20.500.14352/24085
LA eng
NO Ministerio de Economía y Competitividad (MINECO)
DS Docta Complutense
RD 6 abr 2025