A note on the embedding problem for multidimensional fuzzy number spaces (Q5947587)
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scientific article; zbMATH DE number 1661336
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on the embedding problem for multidimensional fuzzy number spaces |
scientific article; zbMATH DE number 1661336 |
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A note on the embedding problem for multidimensional fuzzy number spaces (English)
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20 November 2002
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The embedding problem for spaces of fuzzy numbers was first discussed for fuzzy numbers with bounded supports [\textit{C. Wu} and \textit{M. Ma}, Fuzzy Sets Syst. 44, 33-38 (1991; Zbl 0757.46066); 45, 189-202 (1992; Zbl 0771.46045); 46, 281-286 (1992; Zbl 0774.54003)]. This paper is a continuation of recent investigations in the case of unbounded support [\textit{C. Wu} and \textit{B. Zhang}, Fuzzy Sets Syst. 105, 165-169 (1999; Zbl 0939.46044); 110, 135-142 (2000; Zbl 0954.46040)]. Such a fuzzy number space is embedded into a concrete Fréchet space.
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fuzzy number
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Hausdorff distance
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Fréchet space
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embedding problem
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