On the convergence of fuzzy sets
type: Item
instance of: scholarly article
title: On the convergence of fuzzy sets
zbMATH Open document ID: 0584.54004
DOI: 10.1016/0165-0114(85)90006-5
author: Osmo Kaleva
published in: Fuzzy Sets and Systems
publication date: 1985-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 54A40
Mathematics Subject Classification ID: 54A20
Mathematics Subject Classification ID: 54H25
zbMATH DE Number: 3935922
zbMATH Keywords: convex fuzzy set
zbMATH Keywords: locally compact metric space
zbMATH Keywords: Hausdorff metric
zbMATH Keywords: \(\alpha \) -level sets
zbMATH Keywords: fixed point property
reviewed by: Bernhard Behrens
MaRDI profile type: Publication
full work available at URL: 0165-0114(85)90006-5
OpenAlex ID: W2061177395
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description: scientific article; zbMATH DE number 3935922