Biconic aggregation functions

Authors:
T. Jwaid;B. De Baets;H. De Meyer
Affiliations:
KERMIT, Department of Mathematical Modelling, Statistics and Bioinformatics, Ghent University, Coupure links 653, B-9000 Ghent, Belgium;KERMIT, Department of Mathematical Modelling, Statistics and Bioinformatics, Ghent University, Coupure links 653, B-9000 Ghent, Belgium;Department of Applied Mathematics and Computer Science, Ghent University, Krijgslaan 281 S9, B-9000 Ghent, Belgium
Venue:
Information Sciences: an International Journal
Year:
2012

Citing 13
Cited 2

Aggregation operators: properties, classes and construction methods

Aggregation operators
On a family of copulas constructed from the diagonal section

Soft Computing - A Fusion of Foundations, Methodologies and Applications
An Introduction to Copulas (Springer Series in Statistics)

An Introduction to Copulas (Springer Series in Statistics)
Semilinear copulas

Fuzzy Sets and Systems
On representations of 2-increasing binary aggregation functions

Information Sciences: an International Journal
On the transitivity of a parametric family of cardinality-based similarity measures

International Journal of Approximate Reasoning
On an idempotent transformation of aggregation functions and its application on absolutely continuous Archimedean copulas

Fuzzy Sets and Systems
Aggregation Functions (Encyclopedia of Mathematics and its Applications)

Aggregation Functions (Encyclopedia of Mathematics and its Applications)
Aggregation functions: Means

Information Sciences: an International Journal
Aggregation functions: Construction methods, conjunctive, disjunctive and mixed classes

Information Sciences: an International Journal
Piecewise linear aggregation functions based on triangulation

Information Sciences: an International Journal
Conic aggregation functions

Fuzzy Sets and Systems
Transitivity Bounds in Additive Fuzzy Preference Structures

IEEE Transactions on Fuzzy Systems

Directional dependence of random vectors

Information Sciences: an International Journal
Exchangeable copulas

Fuzzy Sets and Systems

Quantified Score

Hi-index	0.07

Visualization

Abstract

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.