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/