A note on law of large numbers for fuzzy numbers in a Banach space (Q1296814)
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scientific article; zbMATH DE number 1320338
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on law of large numbers for fuzzy numbers in a Banach space |
scientific article; zbMATH DE number 1320338 |
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A note on law of large numbers for fuzzy numbers in a Banach space (English)
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19 November 2000
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The space \(F(E)\) of fuzzy subsets of a Banach space \(E\) is considered. The law of large numbers for \(F(E)\)-valued functions is considered. Instead of probability the necessity \(\text{Nec}(f|D)= 1-\sup\{f(x); x\in D\}\) is considered, the operations in \(F(E)\) are defined by the help of an Archimedean \(t\)-norm.
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fuzzy subsets of a Banach space
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law of large numbers
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Archimedean \(t\)-norm
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