The fuzzy integral based on \(\bigoplus\)-decomposable measure and the convergence theorem (Q2779055)
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scientific article; zbMATH DE number 1723915
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The fuzzy integral based on \(\bigoplus\)-decomposable measure and the convergence theorem |
scientific article; zbMATH DE number 1723915 |
Statements
3 April 2002
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fuzzy integral
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Lebesgue integral
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convergence theorems
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Weber integral
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0.9435103
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0.9079188
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0.90645885
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0.90522176
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The fuzzy integral based on \(\bigoplus\)-decomposable measure and the convergence theorem (English)
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The author follows the integral by \textit{S. Weber} [see J. Math. Anal. Appl. 101, 114-138 (1984; Zbl 0614.28019)] assuming that the operation \(\oplus\) is an Archimedean pseudoaddition or equivalently \(a\oplus b- g^{(-1)}(g(a)+ g(b))\), where \(g^{(-1)}\) is the pseudoinverse of \(g\). Using a representation formula by the Lebesgue integral some convergence theorems for the Weber integral are proved.
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