On the convergence of fuzzy sets (Q1069486)

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scientific article; zbMATH DE number 3935922
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English
On the convergence of fuzzy sets
scientific article; zbMATH DE number 3935922

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    On the convergence of fuzzy sets (English)
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    1985
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    Three kinds of convergences of fuzzy sets are defined by using the Hausdorff metric for supported endographs (Kloeden e.a.) ore by using the Hausdorff distances of the \(\alpha\)-level sets (Heilpern, the author e.a.). For fuzzy subsets of \(R^ n\) the author studies the relationships of this convergences and the fixed point property.
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    convex fuzzy set
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    locally compact metric space
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    Hausdorff metric
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    \(\alpha \) -level sets
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    fixed point property
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