García Segador, PedroMiranda Menéndez, Pedro2023-06-162023-06-162020-01García-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]0165-011410.1016/j.fss.2019.01.017https://hdl.handle.net/20.500.14352/5956In 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.engjournal articlehttps://doi.org/10.1016/j.fss.2019.01.017https://www.sciencedirect.com/journal/fuzzy-sets-and-systemsopen access510.22Fuzzy measures2-Symmetric measuresYoung tableauxFerrers posetsRandom generationIdentificationAnálisis combinatorioTeoría de conjuntos1202.05 Análisis Combinatorio1201.02 Teoría Axiomática de Conjuntos