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L-fuzzy N-convergence structures

Journal of Intelligent & Fuzzy Systems, 2016
Based on a completely distributive lattice L, the concept of L-fuzzy N-convergence structures is introduced. It is shown that the category of L-fuzzy topological spaces can be embedded in the category of L-fuzzy N-convergence spaces. It is also proved the category of (topological) pretopological L-fuzzy N-convergence spaces is isomorphic to the ...
Pang, Bin, Zhao, Yi
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Fuzzy Convergence, Fuzzy Neighborhood Convergence and I-Tolerance Structures for Groups

New Mathematics and Natural Computation, 2021
We 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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Lattice-valued spaces: Fuzzy convergence

Fuzzy Sets and Systems, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Flores, P. V.   +2 more
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Fuzzy initial convergence structure

Fuzzy Sets and Systems, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lee, Bu Young, Park, Jin Han
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Fuzzy regular convergence structures

Fuzzy Sets and Systems, 1999
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Lee, Bu Young, Sohn, Su Ho
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Fuzzy neighborhood convergence spaces

Fuzzy Sets and Systems, 1995
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Blasco, N., Lowen, Robert
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On fuzzy convergence

Information Sciences, 1986
First, summarizing his paper ''On the concept of fuzzy point'' [Fuzzy Sets Syst. 18, 159-172 (1986; Zbl 0606.03014)], the author shows that a ''good definition of fuzzy point'' is impossible if one wants \(\in\) to be a nonfuzzy relation between fuzzy points and fuzzy subsets.
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Fuzzy measures and convergence

Fuzzy Sets and Systems, 1988
Several theorems have been proved, e.g. by Ralescu, Ralescu and Adams, Puri and Ralescu, and Klement, in order to unify the approach to uncertainty of both statistical and fuzzy origin. The present paper is motivated by the same instances and deals with some extensions of the measure-theoretical bases o the unit ball in \(\Lambda_ 0\). Again, the ``non-
SQUILLANTE, Massimo   +1 more
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On fuzzy convergence classes

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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On the Convergence of the Fuzzy Clustering Algorithm “Fuzzy ISODATA”

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1986
AbstractIn 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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