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n-Dimensional overlap functions

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

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Resumen

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.


Tipo de documento:Artículo
Palabras clave:Aggregation operators; Overlap functions; Grouping functions
Materias:Ciencias > Matemáticas > Estadística matemática
Código ID:28381
Depositado:16 Feb 2015 10:16
Última Modificación:22 Abr 2016 14:27

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