Title

Fuzzy convergence: open and proper maps

Authors

Authors

G. Richardson; Q. Xue;J. Zhang

Comments

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Abbreviated Journal Title

Fuzzy Sets Syst.

Keywords

fuzzy maps; fuzzy convergence; probabilistic convergence; TOPOLOGICAL-SPACES; COMPACTNESS; Computer Science, Theory & Methods; Mathematics, Applied; Statistics &; Probability

Abstract

The notions of open and proper maps are introduced in the category FCS of fuzzy convergence spaces and each is shown to be an extension of the same notion with respect to the embedding functor from the category PCS of probabilistic convergence spaces. Proper maps in FCS are shown to be productive and, moreover, preserve closures of fuzzy sets, regularity and local precompactness. All projection maps in FCS are open and open maps are finitely productive. (c) 2004 Elsevier B.V All rights reserved.

Journal Title

Fuzzy Sets and Systems

Volume

152

Issue/Number

2

Publication Date

1-1-2005

Document Type

Article

Language

English

First Page

373

Last Page

384

WOS Identifier

WOS:000228948200012

ISSN

0165-0114

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