n-Dimensional overlap functions

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...

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Published inFuzzy sets and systems Vol. 287; pp. 57 - 75
Main Authors Gómez, Daniel, Rodríguez, J. Tinguaro, Montero, Javier, Bustince, Humberto, Barrenechea, Edurne
Format Journal Article
LanguageEnglish
Published Elsevier B.V 15.03.2016
Subjects
Aggregation operators
Classification
Construction
Continuity
Fuzzy set theory
Grouping functions
Homogeneity
Overlap functions
Aggregation operators
Overlap functions
Grouping functions
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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0165-0114
1872-6801
DOI:10.1016/j.fss.2014.11.023