Biconic aggregation functions

We introduce a new method to construct aggregation functions. These aggregation functions are called biconic aggregation functions with a given diagonal (resp. opposite diagonal) section and their construction is based on linear interpolation on segments connecting the diagonal (resp. opposite diago...

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Bibliographic Details
Published inInformation sciences Vol. 187; pp. 129 - 150
Main Authors Jwaid, T., De Baets, B., De Meyer, H.
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.03.2012
Subjects
Agglomeration
Aggregation function
Construction
Copula
Diagonal section
Interpolation
Joining
Linear interpolation
Opposite diagonal section
Quasi-copula
Segments
Quasi-copula
Linear interpolation
Copula
Diagonal section
Opposite diagonal section
Aggregation function
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Summary:We introduce a new method to construct aggregation functions. These aggregation functions are called biconic aggregation functions with a given diagonal (resp. opposite diagonal) section and their construction is based on linear interpolation on segments connecting the diagonal (resp. opposite diagonal) of the unit square to the points (0, 1) and (1, 0) (resp. (0, 0) and (1, 1)). Subclasses of biconic aggregation functions such as biconic semi-copulas, biconic quasi-copulas and biconic copulas are studied in detail.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0020-0255
1872-6291
DOI:10.1016/j.ins.2011.10.012