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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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Abstract
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 |
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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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