The homogeneous functions play an important role in image processing, decision making and other relevant fields. In this article, we first give solutions of quasi-homogeneity equation of aggregation functions completely, and then we introduce the concept of triple generator of a quasi-homogeneous aggregation function, which is applied to construct a quasi-homogeneous aggregation function.
quasi-homogeneity, aggregation function, triple generator
03B52, 03E72