Parametric characterization of aggregation functions

Authors:
Anna Kolesárová;Radko Mesiar
Affiliations:
Department of Mathematics, FCHFT, Slovak University of Technology, Radlinského 9, 812 37 Bratislava, Slovakia;Department of Mathematics and Descriptive Geometry, SvF, Slovak University of Technology, Radlinského 11, 813 68 Bratislava, Slovakia and Institute of Information Theory and Automation of the ...
Venue:
Fuzzy Sets and Systems
Year:
2009

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Abstract

The aim of this contribution is to find a common framework for parametric characterization of aggregation functions exploiting the notions of unipolar and bipolar parametric characterization, and also unify the ideas of global and local parametric characterization. We revise the known approaches to classification of aggregation functions in special classes in this framework, and also propose some new parameters in classes of averaging, conjunctive and disjunctive aggregation functions.