Discrete Choquet Integrals for Riemann Integrable Inputs With Some Applications

Choquet Integral is a powerful aggregation function especially in merging finite real inputs. However in real life, many inputs exist in continuum, e.g., the Riemann Integrable functions. The standard Choquet Integral formulas can not accommodate such inputs. This study proposes a new expression which enables merging Riemann Integrable inputs using a discrete Choquet integral. Relevant properties arising therein are discussed. A few application domains are identified which include time-dependent multicriteria decision aid and dynamic fuzzy cooperative games, etc.