Construction of kernel aggregation operators from marginal values

Authors:
A. Kolesárová;E. Muel;J. Mordelová
Affiliations:
Department of Mathematics, Faculty of Chemical and Food Technology, Slovak University of Technology, Radlinského 9, 812 37 Bratislava, Slovakia;Department of Computer Science, University of Acalá, 28871 Alcalá de Henares, Spain;Department of Mathematics, Faculty of Civil Engineering, Slovak University of Technology, Radlinského 11, 813 68 Bratislava, Slovakia
Venue:
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Year:
2002

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Abstract

Binary kernel aggregation operators are studied, especially construction of kernel aggregation operators from the given values at boundary points. Kernel aggregation operators uniquely determined by their marginal values are characterized. The importance of shift invariant aggregation operators and k-medians for construction of such aggregation operators is shown. Several examples are given.