Convergence theorems for seminormed fuzzy integrals: Solutions to Hutnìk's open problems

Abstract

In this note, we give solutions to Problems $9.4$ and $9.5,$ which were presented by Mesiar and Stupňanová [{\it Open problems from the 12th International Conference on Fuzzy Set Theory and Its Applications}, Fuzzy Sets and Systems 261 (2015)] and by Borzová-Molnárová, Halucinová and Hutník, 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].

3 pages