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n-Dimensional overlap functions
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DOI：10.1016/j.fss.2014.11.023.png)
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Abstract
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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. (C) 2014 Elsevier B.V. All rights reserved.
Keywords:
Aggregation operators
Overlap functions
Grouping functions
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