General overlap functions

As 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 construct...

Descripción completa

Detalles Bibliográficos
Autores: Miguel Turullols, Laura de, Gómez, Daniel, Rodríguez, J. Tinguaro, Montero, Javier, Bustince Sola, Humberto, Pereira Dimuro, Graçaliz, Sanz, Jose Antonio
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2019
País:España
Institución:Universidad Pública de Navarra
Repositorio:Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
OAI Identifier:oai:academica-e.unavarra.es:2454/33393
Acceso en línea:https://hdl.handle.net/2454/33393
Access Level:acceso abierto
Palabra clave:Overlap functions
General overlap functions
Aggregation functions
Descripción
Sumario:As 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.