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

摘要

We give an answer to Problem 9.3 stated by Mesiar and Stupnanova [8]. We show that the class of semicopulas solving this problem contains any associative semicopula S such that for each a is an element of[0, 1] the function x bar right arrow S(a, x) is continuous and increasing on a countable number of intervals. (C) 2015 Elsevier Inc. All rights reserved.