In this paper, we analyze properties of aggregation-based extensions of fuzzy measures depending on properties of aggregation functions which they are based on. We mainly focus on properties possessed by the well-known Lov\'asz and Owen extensions. Moreover, we characterize aggregation functions suitable for extension of particular subclasses of fuzzy measures.
@article{605,
title = {On some properties of aggregation-based extensions of fuzzy measures},
journal = {Tatra Mountains Mathematical Publications},
volume = {72},
year = {2019},
doi = {10.2478/tmmp-2018-0020},
language = {EN},
url = {http://dml.mathdoc.fr/item/605}
}
Horanská, Ľubomíra. On some properties of aggregation-based extensions of fuzzy measures. Tatra Mountains Mathematical Publications, Tome 72 (2019) . doi : 10.2478/tmmp-2018-0020. http://gdmltest.u-ga.fr/item/605/