On properties of the Choquet integral of interval-valued functions

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. copyright © 2011 lee-chae jang.