Abstract
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.
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