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- Title
On Properties of the Choquet Integral of Interval-Valued Functions.
- Authors
Lee-Chae Jang
- 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.
- Subjects
INTEGRALS; INTERVAL analysis; MATHEMATICAL functions; FUZZY measure theory; STOCHASTIC convergence; MATHEMATICAL analysis
- Publication
Journal of Applied Mathematics, 2011, p1
- ISSN
1110-757X
- Publication type
Article
- DOI
10.1155/2011/492149