RT Book, Section
T1 On the k-additive Core of Capacities
A1 Grabisch, Michel
A1 Miranda Menéndez, Pedro
A2 Stepnicka, Martin
A2 Novák, Vilém
A2 Bodenhofer, Ulrich
AB We investigate in this paper the set of k-additive capacities dominating a given capacity,which we call the k-additive core. We study its structure through achievable families, which play the role of maximal chains in the classical case (k = 1), and show thatassociated capacities are elements (possibly a vertex) of the k-additive core when the capacity is (k+1)-monotone. As a particular case, we study the set of k-additive belief functions dominating a belief function. The problem of finding all vertices of the k-additive core is still an open question.
PB University of Ostrava
SN 978-80-7368-386-3
YR 2007
FD 2007
LK https://hdl.handle.net/20.500.14352/53170
UL https://hdl.handle.net/20.500.14352/53170
LA eng
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DS Docta Complutense
RD 1 may 2024