On the representation of \(n\)-dimensional fuzzy numbers and their informational content (Q698767)
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scientific article; zbMATH DE number 1809958
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the representation of \(n\)-dimensional fuzzy numbers and their informational content |
scientific article; zbMATH DE number 1809958 |
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On the representation of \(n\)-dimensional fuzzy numbers and their informational content (English)
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30 September 2002
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Fuzzy numbers (normal convex upper semicontinuous fuzzy sets with bounded support) in \(\mathbb R^n\) equipped by the inner product are studied. For such fuzzy numbers representation theorems in the sense of Diamond and Kloeden are shown. A fuzzy number in \(\mathbb R^n\) can be characterized by a collection of \(2n\) functions, or by an infinite family of functions fulfilling certain properties. Also the notions of value, ambiguity and fuzziness are generalized for \(n\)-dimensional fuzzy numbers.
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fuzzy number
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fuzziness
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ambiguity
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0.8833761
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0.87874734
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0.87439543
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0.86474115
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0.8637736
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