%0 Journal Article %A Gómez González, Daniel %A Rodríguez González, Juan Tinguaro %A Montero De Juan, Francisco Javier %A Bustince, Humberto %A Barrenechea, Edurne %T n-Dimensional overlap functions %D 2014 %@ 0165-0114 %U https://hdl.handle.net/20.500.14352/33787 %X In this paper we introduce the definition of n-dimensional overlap functions and we justify the axiomatization proposed in its definition. Basically, these functions allow to measure the degree of overlapping of several classes in a given classification system and for any given object. We also show a construction method for this class of functions, studying its relationships with the properties of migrativity, homogeneity and Lipschitz continuity. Finally, we propose an example where the use of n-dimensional overlap functions provides better results than those obtained with the commonly used product t-norm. %~