RT Journal Article
T1 On the structure of the k-additive fuzzy measures
A1 Miranda Menéndez, Pedro
A1 Combarro, Elías F.
AB In this paper we present some results concerning the vertices of the set of fuzzy measures being at most k-additive. We provide an algorithm to compute them. We give some examples of the results obtained with this algorithm and give lower bounds on the number of vertices for the (n - 1)-additive case, proving that it grows much faster than the number of vertices of the general fuzzy measures. The results in the paper suggest that the structure of k-additive measures might be more complex than expected from their definition and, in particular, that they are more complex than general fuzzy measures.
PB Elsevier Science Bv
SN 0165-0114
YR 2010
FD 2010
LK https://hdl.handle.net/20.500.14352/42364
UL https://hdl.handle.net/20.500.14352/42364
LA eng
NO MEC
NO FEDER
DS Docta Complutense
RD 9 abr 2025