Based on the concept of an interval-valued function which is motivated by the goal to represent an uncertain function, we define the Choquet integral with respect to a fuzzy measure of interval-valued functions. We also discuss convergence in the (C) mean and convergence in a fuzzy measure of sequences of measurable interval-valued functions. In particular, we investigate the convergence theorem for the Choquet integral of measurable interval-valued functions.
Lee-Chae Jang. "On Properties of the Choquet Integral of Interval-Valued Functions." J. Appl. Math. 2011 1 - 10, 2011. https://doi.org/10.1155/2011/492149