Two new characterizations of universal integrals on the scale [0,1][0,1]

•The concept of universal integral, has been recently proposed and axiomatized.•This encompasses several integrals, including the Choquet, Shilkret and Sugeno integrals.•In this paper we present two new axiomatizations of the universal integral.

The concept of universal integral, recently proposed and axiomatized, encompasses several integrals, including the Choquet, Shilkret and Sugeno integrals. In this paper we present two new axiomatizations of universal integrals on the scale [0,1][0,1]. In the first characterization, we look at universal integrals on the scale [0,1][0,1] as families of aggregation functions FF satisfying some desired properties. The second characterization is given in the framing in which the original definition of universal integral was provided.