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Degrees of compactness in fuzzy convergence spaces
Fuzzy Sets and Systems, 2002In [ibid. 92, No. 3, 349-355 (1997; Zbl 0968.54502)] the author introduced a notion of compactness for fuzzy subsets of fuzzy convergence spaces in the sense of [\textit{E. Lowen}, \textit{R. Lowen}, and \textit{P. Wuyts}, ibid. 40, No. 2, 347-373 (1991; Zbl 0728.54001)]. The aim of this paper is to define the measure of compactness of a fuzzy set in a
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Note on “Convergence of powers of a fuzzy matrix”
Fuzzy Sets and Systems, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fuzzy Sets and Systems, 1989
If \(S=S(n)\), \(n\in D\), is a fuzzy net and e is a point in X then a set \({\mathcal G}=\{(S,E)\}\) is called a convergence class for X if some conditions are satisfied. A characterization of fuzzy topology in a nonempty set is given. In particular, for each fuzzy convergence class \({\mathcal G}\) for X a map C: \(I^ X\to I^ X\) is induced as ...
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If \(S=S(n)\), \(n\in D\), is a fuzzy net and e is a point in X then a set \({\mathcal G}=\{(S,E)\}\) is called a convergence class for X if some conditions are satisfied. A characterization of fuzzy topology in a nonempty set is given. In particular, for each fuzzy convergence class \({\mathcal G}\) for X a map C: \(I^ X\to I^ X\) is induced as ...
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Proceedings. 1998 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (Cat. No.98CB36231), 2002
Adam W. Hoover, Michael H. Goldbaum
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Adam W. Hoover, Michael H. Goldbaum
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On the convergence of fuzzy sets
Fuzzy Sets and Systems, 1985Three 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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Relative compact fuzzy subsets in fuzzy convergence spaces
Fuzzy Sets and Systems, 1999The author introduces and investigates the concept of relative compactness for fuzzy convergence spaces. Inter alia he shows that this is a good extension of \textit{H. Poppe}'s concept [Compactness in general function spaces (1974; Zbl 0291.54012)] and of \textit{J. J. Chadwick}'s concept [J. Math. Anal. Appl. 162, No. 1, 92-110 (1991; Zbl 0772.54005)]
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A Convergence Theorem for the Fuzzy ISODATA Clustering Algorithms
IEEE Transactions on Pattern Analysis and Machine Intelligence, 1980James C Bezdek
exaly
The statistical convergence for sequences of fuzzy-number-valued functions
Information Sciences, 2015Zengtai Gong
exaly
A convergence theorem for the fuzzy subspace clustering (FSC) algorithm
Pattern Recognition, 2008Guojun Gan
exaly