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The Skorokhod topology on space of fuzzy numbers. (English) Zbl 0961.54024
The authors introduce a metric on the set $$F(\mathbb{R})$$ of fuzzy numbers in the sense of R. Goetschel jun. and W. Voxman [ibid. 18, 31-43 (1986; Zbl 0626.26014)] and prove that $$F(\mathbb{R})$$ with this metric becomes a Polish space.

MSC:
 54E35 Metric spaces, metrizability 26E50 Fuzzy real analysis 60F99 Limit theorems in probability theory
Keywords:
fuzzy numbers; Polish space
Zbl 0626.26014
Full Text:
References:
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