  We give solutions to Problems 2.21, 2.31 and 2.32, which were posed
Borzow\'a-Moln\'arov\'a, Hal\v{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.
2014.09.0232014].
