Sugeno integral of monotone functions based on Lebesgue measure

Román-Flores et al. [H. Román-Flores, A. Flores-Franulic, Y. Chalco-Cano, The fuzzy integral for monotone functions, Applied Mathematics and Computation 185 (2007) 492–498] gave some optimal upper bounds for the Sugeno integral of continuous and strictly monotone functions and provided Yong-type inequalities for the Sugeno integral. These results are generalized to monotone functions in this paper. Two algorithms are given for calculating the Sugeno integral of monotone functions based on Lebesgue measure. Several illustrative examples are presented.