Biconic aggregation functions with a given diagonal or opposite diagonal section

DOI

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.

Copyright

© 2011, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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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 (EUSFLAT-11)
PB  - Atlantis Press
SP  - 67
EP  - 74
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.19
DO  - 10.2991/eusflat.2011.19
ID  - Jwaid2011/08
ER  -