Sugeno capacities for the extension of exponential and hyperbolic discounting to fuzzy integrals

Abstract

This article produces a blend between the fields of time discounting and fuzzy integrals. By exploiting the mathematical properties of the Sugeno capacities, we can produce a Choquet integral that simultaneously is subadditive and coincides with either the exponential or hyperbolic discounting additive formulas in the evaluation of individual time moments. Numerical analyses guarantee that the new valuation procedures are different from their additive counterparts.