Miguel Turullols, Laura deGómez, DanielTinguaro, JavierMontero, JavierBustince Sola, HumbertoPereira Dimuro, GraçalizSanz, Jose Antonio2019-06-182021-10-0120190165-011410.1016/j.fss.2018.08.003https://academica-e.unavarra.es/handle/2454/33393As a generalization of bivariate overlap functions, which measure the degree of overlapping (intersection for non-crisp sets) of n different classes, in this paper we introduce the concept of general overlap functions. We characterize the class of general overlap functions and include some construction methods by means of different aggregation and bivariate overlap functions. Finally, we apply general overlap functions to define a new matching degree in a classification problem. We deduce that the global behavior of these functions is slightly better than some other methods in the literature.19 p.application/pdfeng© 2018 Elsevier B.V. The manuscript version is made available under the CC BY-NC-ND 4.0 license.Overlap functionsGeneral overlap functionsAggregation functionsinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess