Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)

Biconic aggregation functions with a given diagonal or opposite diagonal section

Authors
Tarad Jwaid, Bernard De Baets, Hans De Meyer
Corresponding Author
Tarad Jwaid
Available Online August 2011.
DOI
https://doi.org/10.2991/eusflat.2011.19How to use a DOI?
Keywords
Aggregation function, Quasi-copula, Copula, Diagonal section, Opposite diagonal section, Linear interpolation
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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Proceedings
Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology
Part of series
Advances in Intelligent Systems Research
Publication Date
August 2011
ISBN
978-90-78677-00-0
DOI
https://doi.org/10.2991/eusflat.2011.19How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Tarad Jwaid
AU  - Bernard De Baets
AU  - Hans De Meyer
PY  - 2011/08
DA  - 2011/08
TI  - Biconic aggregation functions with a given diagonal or opposite diagonal section
BT  - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology
PB  - Atlantis Press
SP  - 67
EP  - 74
UR  - https://doi.org/10.2991/eusflat.2011.19
DO  - https://doi.org/10.2991/eusflat.2011.19
ID  - Jwaid2011/08
ER  -