Asymptotic results for the entropy of a random fuzzy partition (Q2771534)
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scientific article; zbMATH DE number 1705779
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic results for the entropy of a random fuzzy partition |
scientific article; zbMATH DE number 1705779 |
Statements
17 February 2002
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space division
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fuzzy sets
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entropy
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asymptotic behaviour
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weak convergence
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convergence in probability
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martingales
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Asymptotic results for the entropy of a random fuzzy partition (English)
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The author discusses a generalization of the ``entropy of space partition'' notion in the case when partition is created by fuzzy sets. The asymptotic behaviour of the entropy is studied under the additional assumption that fuzzy sets are uniformly small. Martingale approach is an essential moment in proving the limit results.
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