The solution of Hutn\'ik's open problem

Abstract

In this note, we give a solution to Problem 9.2, which was presented by Mesiar and Stupnanov\'a [ Open problems from the 12th International Conference on Fuzzy Set Theory and Its Applications, Fuzzy Sets and Systems (2014), http://dx.doi.org/10.1016/ j.fss.2014.07.012]. We show that the class of semicopulas solving Problem 9.2 contains only the ukasiewicz t-norm.

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