Universidad Complutense de Madrid
E-Prints Complutense

Applying Young diagrams to 2-symmetric fuzzy measures with an application to general fuzzy measures

Impacto

Downloads

Downloads per month over past year

García-Segador, P. and Miranda Menéndez, Pedro (2019) Applying Young diagrams to 2-symmetric fuzzy measures with an application to general fuzzy measures. Fuzzy Sets and Systems . ISSN 0165-0114 (In Press)

[img] PDF
Restringido a Repository staff only hasta 29 January 2021.
Creative Commons Attribution Non-commercial No Derivatives.

904kB

Official URL: https://doi.org/10.1016/j.fss.2019.01.017




Abstract

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.


Item Type:Article
Uncontrolled Keywords:Fuzzy measures, 2-Symmetric measures, Young tableaux, Ferrers posets, Random generation, Identification
Subjects:Sciences > Mathematics > Combinatorial analysis
Sciences > Mathematics > Set theory
ID Code:55199
Deposited On:07 May 2019 17:10
Last Modified:08 May 2019 07:41

Origin of downloads

Repository Staff Only: item control page