On S-homogeneity property of seminormed fuzzy integral: An answer to an open problem

We give an?answer to Problem 9.3 stated by Mesiar and Stupňanova 8. We show that the class of semicopulas solving this problem contains any associative semicopula S such that for each a ? 0, 1 the function x ? S(a, x) is continuous and increasing on a countable number of intervals.