1. Homogeneous aggregation operators
- Creator:
- Rückschlossová, Tatiana and Rückschloss, Roman
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- aggregation operator, homogeneity, and kernel property
- Language:
- English
- Description:
- 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.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public