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Fuzzy Sets and Systems, 1995
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Caimei Guo
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Caimei Guo
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Fuzzy Sets and Systems, 1993
The paper (re)defines fuzzy convergence structures based on prefilters as given by fuzzy \(q\)-neighbourhood systems. Basic properties including induced spaces and continuity are investigated. Ultrafilters are also defined, but without any relations i.e. to compactness. The paper does not refer to other approaches to fuzzy convergence.
Lee, Bu Young +2 more
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The paper (re)defines fuzzy convergence structures based on prefilters as given by fuzzy \(q\)-neighbourhood systems. Basic properties including induced spaces and continuity are investigated. Ultrafilters are also defined, but without any relations i.e. to compactness. The paper does not refer to other approaches to fuzzy convergence.
Lee, Bu Young +2 more
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Lacunary statistical convergence of sequences of fuzzy numbers
Fuzzy Sets and Systems, 1998 The sequence X = {X-k} of fuzzy numbers is statistically convergent to the fuzzy number X-0 provided that for each epsilon > 0 lim 1/n{the number of k less than or equal to n:(d) over bar(X-k, X-0) greater than or equal to epsilon} = 0.
Fati̇H Nuray
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Fuzzy Convergence, Fuzzy Neighborhood Convergence and I-Tolerance Structures for Groups
New Mathematics and Natural Computation, 2021We introduce a category of fuzzy convergence groups, FCONVGRP a subcategory of the category of fuzzy convergence spaces, FCONV. Viewing [Formula: see text] as a complete Heyting algebra, we prove that the category of [Formula: see text]-tolerance groups, [Formula: see text]-TOLGRP is isomorphic to a subcategory of FCONVGRP.
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On the convergence of fuzzy variables
Journal of Intelligent & Fuzzy Systems, 2018Fuzzy variable is a function from a credibility space to the set of real numbers. The convergence of fuzzy variables is important component of credibility theory, which can be applied into real problems in engineering and mathematical finance. Inspired by these, we will discuss some properties of convergence for fuzzy variables.
Cuilian You, Ruili Zhang, Ke Su
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Fuzzy Sets and Systems, 2007
In this note, two notions of convergence in [0,1]-topological spaces, previously introduced by Chen and Cheng [Fuzzy sets and Systems 86 (1997) 235-240], and Georgiou and Papadopoulos [Fuzzy Sets and Systems 116 (2000) 385-399], respectively, are proved to be equivalent.
Zhen-Guo Xu, Fu-Gui Shi
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In this note, two notions of convergence in [0,1]-topological spaces, previously introduced by Chen and Cheng [Fuzzy sets and Systems 86 (1997) 235-240], and Georgiou and Papadopoulos [Fuzzy Sets and Systems 116 (2000) 385-399], respectively, are proved to be equivalent.
Zhen-Guo Xu, Fu-Gui Shi
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Fuzzy Sets and Systems, 2000
Abstract In this paper we introduce and study the notions of fuzzy θ -convergence and weakly θ -convergence on a fuzzy topological space. These notions can be considered as generalizations of the convergence defined in Georgiou and Papadopoulos (1998). Also the forementioned θ -convergence does not coincide with the one defined in Chen
D.N. Georgiou, B.K. Papadopoulos
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Abstract In this paper we introduce and study the notions of fuzzy θ -convergence and weakly θ -convergence on a fuzzy topological space. These notions can be considered as generalizations of the convergence defined in Georgiou and Papadopoulos (1998). Also the forementioned θ -convergence does not coincide with the one defined in Chen
D.N. Georgiou, B.K. Papadopoulos
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A new extension of fuzzy convergence
Fuzzy Sets and Systems, 2000Modifying the definition of \(N\)-compactness [\textit{G. Wang}, J. Math. Anal. Appl. 94, 1-23 (1983; Zbl 0512.54006)] the first one of the authors has defined the property of nearly \(N\)-compactness for \(L\)-subsets in \(L\)-(fuzzy) topological spaces [J. Math., Wuhan Univ. 16, No. 1, 67-71 (1996; Zbl 0870.54009)]. In the present paper this property
Shui-Li Chen, Sheng-Tao Chen
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On the Convergence of the Fuzzy Clustering Algorithm “Fuzzy ISODATA”
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1986AbstractIn der vorliegenden Arbeit wird für den unscharfen Partitionierungsalgorithmus “Fuzzy ISODATA” gezeigt, daß ausgehend von beliebigem Startpunkt jeder Häufungspunkt der generierten Folge ein stationärer Punkt des erweiterten, Quadratischen‐Fehlersummen‐Funktionals ist, welches als Partitionierungskriterium dient.
von Trzebiatowski, G., Bank, B.
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Regularity in fuzzy convergence spaces
Fuzzy Sets and Systems, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Minkler, J., Minkler, G., Richardson, G.
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