Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

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

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]