Representation and construction of homogeneous and quasi-homogeneous -ary aggregation functions
Yong Su, Radko Mesiar (2021)
Kybernetika
Similarity:
Homogeneity, as one type of invariantness, means that an aggregation function is invariant with respect to multiplication by a constant, and quasi-homogeneity, as a relaxed version, reflects the original output as well as the constant. In this paper, we characterize all homogeneous/quasi-homogeneous -ary aggregation functions and present several methods to generate new homogeneous/quasi-homogeneous -ary aggregation functions by aggregation of given ones.