On comonotone commuting and weak subadditivity properties of seminormed fuzzy integrals

In the paper, we characterize the class of all the binary operators ∘-commuting with the generalized Sugeno integral generated by a strict t-norm. For the Sugeno integral, this problem was solved by Ouyang and Mesiar. We also present the necessary and sufficient conditions for the weak subadditivity of the generalized Sugeno integral.