Fuzzy convergence: open and proper maps

    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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