Representation and construction of homogeneous and quasi-homogeneous $n$-ary aggregation functions

@article{Su2021,
abstract = {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 $n$-ary aggregation functions and present several methods to generate new homogeneous/quasi-homogeneous $n$-ary aggregation functions by aggregation of given ones.},
author = {Su, Yong, Mesiar, Radko},
journal = {Kybernetika},
keywords = {aggregation functions; invariantness; homogeneity; quasi-homogeneity},
language = {eng},
number = {6},
pages = {958-969},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Representation and construction of homogeneous and quasi-homogeneous $n$-ary aggregation functions},
url = {http://eudml.org/doc/297594},
volume = {57},
year = {2021},
}

TY - JOUR
AU - Su, Yong
AU - Mesiar, Radko
TI - Representation and construction of homogeneous and quasi-homogeneous $n$-ary aggregation functions
JO - Kybernetika
PY - 2021
PB - Institute of Information Theory and Automation AS CR
VL - 57
IS - 6
SP - 958
EP - 969
AB - 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 $n$-ary aggregation functions and present several methods to generate new homogeneous/quasi-homogeneous $n$-ary aggregation functions by aggregation of given ones.
LA - eng
KW - aggregation functions; invariantness; homogeneity; quasi-homogeneity
UR - http://eudml.org/doc/297594
ER -