Axiomatization and construction of orness measures for aggregation functions

This research has been partially supported by the Spanish MINECO (TIN-2017-87600-P: I. Diaz and R. Perez-Fernandez; PGC2018-098623-B-I00: S. Montes), FICYT (FC-GRUPIN-IDI/2018/000176: I. Diaz and S. Montes) and MICIN (PID2019-108392GB-I00: H. Bustince, J. Fernandez and D. Paternain). R. Perez-Fernandez acknowledges the support of KERMIT, Department of Data Analysis and Mathematical Modelling, Ghent University, Belgium, and the Research Foundation of Flanders (FWO17/PDO/160). The authors are deeply indebted to an anonymous referee for helpful comments on an initial version of this manuscript.