Homogeneous aggregation operators

Abstract

Recently, the utilization of invariant aggregation operators, i.e., aggregation operators not depending on a given scale of measurement was found as a very current theme. One type of invariantness of aggregation operators is the homogeneity what means that an aggregation operator is invariant with respect to multiplication by a constant. We present here a complete characterization of homogeneous aggregation operators. We discuss a relationship between homogeneity, kernel property and shift-invariance of aggregation operators. Several examples are included.

DOI: 10.1007/3-540-31182-3_51

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Cite this paper

@article{Rckschlossov2004HomogeneousAO, title={Homogeneous aggregation operators}, author={Tatiana R{\"{u}ckschlossov{\'a} and Roman R{\"{u}ckschloss}, journal={Kybernetika}, year={2004}, volume={42}, pages={279-286} }