Geodesic
Homogeneous aggregation operators
Kybernetika, Tome 42 (2006) no. 3, pp. 279-286 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 03E72, 26B99, 68T37
Keywords: aggregation operator; homogeneity; kernel property 
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Rückschlossová, Tatiana; Rückschloss, Roman. Homogeneous aggregation operators. Kybernetika, Tome 42 (2006) no. 3, pp. 279-286. http://geodesic.mathdoc.fr/item/KYB_2006_42_3_a2/

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