Pseudo-additive measures and integrals (Q1087664)
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scientific article; zbMATH DE number 3987611
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Pseudo-additive measures and integrals |
scientific article; zbMATH DE number 3987611 |
Statements
Pseudo-additive measures and integrals (English)
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1987
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We suggest pseudo-additive measures based on a pseudo-addition and discuss integrals with respect to pseudo-additive measures. A pseudo- additive measure is a special type of fuzzy measures. To define an integral, a multiplication corresponding to a pseudo-addition is introduced. The resulting integral is an extension of the Lebesgue integral. In this context, Radon-Nikodým-like theorems are shown.
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integrals with respect to pseudo-additive measures
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fuzzy measures
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extension of the Lebesgue integral
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Radon-Nikodým-like theorems
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