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Convergence of fuzzy series in \(\mathcal F_0({\mathbb{R}}^m)\). (Chinese. English summary) Zbl 1210.54024

Summary: Various convergence properties of fuzzy series in \(\mathcal F_0({\mathbb{R}}^1)\) have been discussed in earlier papers. In this paper these properties are discussed when the series are in \(\mathcal F_0({\mathbb{R}}^m)\) instead of \(\mathcal F_0({\mathbb{R}}^1)\). It is proved that the basic convergence properties of fuzzy series in \(\mathcal F_0({\mathbb{R}}^1)\) are also possessed by the fuzzy series in \({\mathcal F}_0({\mathbb{R}}^m)\).

MSC:

54A40 Fuzzy topology
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