n-Dimensional overlap functions



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Gómez, Daniel and Rodríguez, Juan Tinguaro and Montero, Javier and Bustince, H. and Barrenechea, E. (2014) n-Dimensional overlap functions. Fuzzy Sets and Systems . ISSN 0165-0114 (In Press)

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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.

Item Type:Article
Uncontrolled Keywords:Aggregation operators; Overlap functions; Grouping functions
Subjects:Sciences > Mathematics > Mathematical statistics
ID Code:28381
Deposited On:16 Feb 2015 10:16
Last Modified:22 Apr 2016 14:27

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