Computing Sugeno integrals

Abstract

The main goal of the present paper is to furnish practical procedures for the approximate computation (with preassigned precision) of the Sugeno integral of a general positive measurable function with respect to a general monotone measure. To this end, we use our two-steps methods (the simple two-steps method and the topologic method using the iterated convergence theorem). The aforementioned methods reduce the general computation to the well-known computation in the finite discrete case, which can be done with computer-aided methods.