Comonotone commuting property; Semicopula; Sugeno integral; The smallest semicopula-based universal integral
In this paper, we characterize the class of solutions for two open problems: one is Problem 1 which is posed by Ouyang et al. (2009), other is Problem 2 which is proposed by Borzová-Molnárová et al. (2015). Many results being wider than the previous ones have been stated. All are summarized in Theorems: 2,3,4,5,7,9,11 and 12.