On strong laws of large numbers for random upper semicontinuous functions (Q1300042)
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scientific article; zbMATH DE number 1332894
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On strong laws of large numbers for random upper semicontinuous functions |
scientific article; zbMATH DE number 1332894 |
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On strong laws of large numbers for random upper semicontinuous functions (English)
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25 October 1999
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The author proves a strong law of large numbers for random upper semicontinuous functions. The convergence refers to a metric that is intimately related to the Hausdorff distance between level sets. The result can be applied in the theory of fuzzy sets.
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strong law of large numbers
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random closed set
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Aumann expectation
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upper semicontinuous function
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fuzzy set
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