On Properties of the Choquet Integral of Interval-Valued Functions

[摘要] Based on the concept of an interval-valued function which is motivated by thegoal to represent an uncertain function, we define the Choquet integral with respect to afuzzy measure of interval-valued functions. We also discuss convergence in the(C)meanand convergence in a fuzzy measure of sequences of measurable interval-valued functions. Inparticular, we investigate the convergence theorem for the Choquet integral of measurableinterval-valued functions.

[学科分类] 应用数学