Gómez González, DanielRodríguez González, Juan TinguaroMontero De Juan, Francisco JavierBustince, HumbertoBarrenechea, Edurne2023-06-192023-06-192014Gómez, D., Rodríguez, J.T., Montero, J., Bustince, H., Barrenechea, E.: n-Dimensional overlap functions. Fuzzy Sets and Systems. 287, 57-75 (2016). https://doi.org/10.1016/j.fss.2014.11.0230165-011410.1016/j.fss.2014.11.023https://hdl.handle.net/20.500.14352/33787In 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.engjournal articlehttps//doi.org/10.1016/j.fss.2014.11.023http://ac.els-cdn.com/S0165011414005417/1-s2.0-S0165011414005417-main.pdf?_tid=9ea4b8d0-b376-11e4-acf8-00000aacb35e&acdnat=1423828457_df72990dfd6def6ba70feb65f7f14f9erestricted access519.22Aggregation operatorsOverlap functionsGrouping functionsEstadística matemática (Matemáticas)1209 Estadística