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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].

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