On Properties of the Choquet Integral of Interval‐Valued Functions

Lee-Chae Jang

Journal of Applied Mathematics, 2011, vol. 2011, issue 1

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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https://doi.org/10.1155/2011/492149

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2011:y:2011:i:1:n:492149

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