On Properties of the Choquet Integral of Interval-Valued Functions

Lee-Chae Jang

Journal of Applied Mathematics, 2011, vol. 2011, 1-10

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.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:492149

DOI: 10.1155/2011/492149

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