RT Journal Article
T1 Applying Young diagrams to 2-symmetric fuzzy measures with an application to general fuzzy measures
A1 García Segador, Pedro
A1 Miranda Menéndez, Pedro
AB In this paper we apply Young diagrams, a well-known object appearing in Combinatorics and Group Representation Theory, to study some properties of the polytope of 2-symmetric fuzzy measures with respect to a given partition, a subpolytope of the set of fuzzy measures. The main result in the paper allows to build a simple and fast algorithm for generating points on this polytope in a random fashion. Besides, we also study some other properties of this polytope, as for example its volume. In the last section, we give an application of this result to the problem of identification of general fuzzy measures.
PB Elsevier
SN 0165-0114
YR 2020
FD 2020-01
LK https://hdl.handle.net/20.500.14352/5956
UL https://hdl.handle.net/20.500.14352/5956
LA eng
NO García-Segador P, Miranda P. Applying Young diagrams to 2-symmetric fuzzy measures with an application to general fuzzy measures. Fuzzy Sets and Systems 2020; 379: 20–36. [DOI: 10.1016/j.fss.2019.01.017]
NO Ministerio de Economía y Competitividad (España)
DS Docta Complutense
RD 11 abr 2025