Fundamentals of a generalized measure theory (Q2702351)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fundamentals of a generalized measure theory |
scientific article |
Statements
28 June 2001
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fuzzy set
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tribe
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fuzzy measure
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plausibility
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valuation
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\(T\)-measure
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triangular norm
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Choquet integral
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Fundamentals of a generalized measure theory (English)
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The authors give a unified overview of various approaches to fuzzy measure theory, including uncertainty measures on lattices and on De~Morgan algebras, plausibility measures, valuations, and measures on MV-algebras and on tribes of fuzzy sets. Representation theorems are summarized and conditions corresponding to classical \(\sigma\)-completeness are discussed. The paper is a unique collection of numerous results that have never been presented together, moreover in a style that admits an easy comparison. Thus it represents a very useful source for all experts dealing with some type of fuzzy measures.NEWLINENEWLINEFor the entire collection see [Zbl 0942.00008].
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0.9158807
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