Geodesic
Homogeneous aggregation operators
Kybernetika, Tome 42 (2006) no. 3, pp. 279-286.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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 
@article{KYB_2006__42_3_a2,
     author = {R\"uckschlossov\'a, Tatiana and R\"uckschloss, Roman},
     title = {Homogeneous aggregation operators},
     journal = {Kybernetika},
     pages = {279--286},
     publisher = {mathdoc},
     volume = {42},
     number = {3},
     year = {2006},
     mrnumber = {2253389},
     zbl = {1249.26024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2006__42_3_a2/}
}
TY  - JOUR
AU  - Rückschlossová, Tatiana
AU  - Rückschloss, Roman
TI  - Homogeneous aggregation operators
JO  - Kybernetika
PY  - 2006
SP  - 279
EP  - 286
VL  - 42
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/KYB_2006__42_3_a2/
LA  - en
ID  - KYB_2006__42_3_a2
ER  - 
%0 Journal Article
%A Rückschlossová, Tatiana
%A Rückschloss, Roman
%T Homogeneous aggregation operators
%J Kybernetika
%D 2006
%P 279-286
%V 42
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/KYB_2006__42_3_a2/
%G en
%F KYB_2006__42_3_a2
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/