On Properties of the Choquet Integral of Interval-Valued Functions
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 sequen...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2011/492149 |
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| Summary: | 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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| ISSN: | 1110-757X 1687-0042 |