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Zbl 0584.54004
Kaleva, Osmo
On the convergence of fuzzy sets.
(English)
[J] Fuzzy Sets Syst. 17, 53-65 (1985). ISSN 0165-0114

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 $R\sp n$ the author studies the relationships of this convergences and the fixed point property.
[B.Behrens]
MSC 2000:
*54A40 Fuzzy topology
54A20 Convergence in general topology
54H25 Fixed-point theorems in topological spaces

Keywords: convex fuzzy set; locally compact metric space; Hausdorff metric; $\alpha$ -level sets; fixed point property

Cited in: Zbl 0999.49011 Zbl 0685.54030

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