  In this note, we give solutions to Problems $9.4$ and $9.5,$ which were
presented by Mesiar and Stup\v{n}anov\'{a} [{\it Open problems from the 12th
International Conference on Fuzzy Set Theory and Its Applications}, Fuzzy Sets
and Systems 261 (2015)] and by Borzov\'a-Moln\'arov\'a, Hal\u{c}inov\'a and
Hutn\'ik, in [{\it The smallest semicopula-based universal integrals I:
properties and characterizations,} Fuzzy Sets and Systems (2014),
http://dx.doi.org/ 10.1016/j.fss.2014.09.024].
