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].
Categories: math.ST stat.TH