Biconic aggregation functions with a given diagonal or opposite diagonal section

descriptionPublicationkeyboard_double_arrow_right Article , Conference object 01 Jan 2011Publisher:Atlantis PressJournal:Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-2011)

Authors: Tarad Jwaid; Bernard De Baets; Hans E. De Meyer;

doi: 10.2991/eusflat.2011.19

Biconic aggregation functions with a given diagonal or opposite diagonal section

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Abstract

A new method to construct aggregation functions is introduced. These aggregation functions are called biconic aggregation functions with a given diagonal (resp. opposite diagonal) section and their construction method is based on linear interpolation on segments connecting the diagonal (resp. opposite diagonal) of the unit square and the points (0, 1) and (1, 0) (resp. (0, 0) and (1, 1)). Special classes of biconic aggregation functions such as biconic semicopulas, quasi-copulas and copulas are studied in detail.

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Ghent University
Belgium

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