Generalized Carathéodory extension theorem on fuzzy measure space (Q1938149)
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scientific article; zbMATH DE number 6134047
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalized Carathéodory extension theorem on fuzzy measure space |
scientific article; zbMATH DE number 6134047 |
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Generalized Carathéodory extension theorem on fuzzy measure space (English)
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4 February 2013
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Summary: Lattice-valued fuzzy measures are lattice-valued set functions which assign the bottom element of the lattice to the empty set and the top element of the lattice to the entire universe, satisfying the additive properties and the property of monotonicity. In this paper, we use the lattice-valued fuzzy measures and outer measure definitions and generalize the Caratheodory extension theorem for lattice-valued fuzzy measures.
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fuzzy measures
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lattice-valued set function
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Caratheodory extension theorem
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