Biconic aggregation functions with a given diagonal or opposite diagonal section

被引：0

作者：

Jwaid, Tarad ^{[1
]}

De Baets, Bernard ^{[1
]}

De Meyer, Hans ^{[2
]}

机构：

[1] Univ Ghent, Dept Appl Math Biometr & Proc Control, Coupure Links 653, B-9000 Ghent, Belgium

[2] Univ Ghent, Dept Appl Math, Comp Sci, B-9000 Ghent, Belgium

来源：

PROCEEDINGS OF THE 7TH CONFERENCE OF THE EUROPEAN SOCIETY FOR FUZZY LOGIC AND TECHNOLOGY (EUSFLAT-2011) AND LFA-2011 | 2011年

关键词：

Aggregation function; Quasi-copula; Copula; Diagonal section; Opposite diagonal section; Linear interpolation; QUASI-COPULAS; FAMILY;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

A new method to construct aggregation functions is introduced. These aggregation functions are called wbiconic 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 semi-copulas, quasi-copulas and copulas are studied in detail.

引用

页码：67 / 74

页数：8