RT Journal Article
T1 Optimization issues for fuzzy measures
A1 Miranda Menéndez, Pedro
A1 Grabisch, Michel
AB In this paper, we address the problem of identification of fuzzy measures through different representations, namely the Mobius, the Shapley and the Banzhaf interaction rep resentations. In the first part of the paper, we recall the main results concerning these representations, and give a simple algorithm to compute them. Then we determine the bounds of the Mobius and the interaction representations for fuzzy measures. Lastly, the identification of fuzzy measures by minimizing a quadratic error criterion is addressed. We give expressions of the quadratic program for all the considered representations, and study the uniqueness of the solution.
PB World Scientifc Publishing Company
SN 0218-4885
YR 1999
FD 1999-12
LK https://hdl.handle.net/20.500.14352/57727
UL https://hdl.handle.net/20.500.14352/57727
LA eng
DS Docta Complutense
RD 1 may 2024