Regularity in fuzzy convergence spaces

    Authors

    J. Minkler; G. Minkler;G. Richardson

    Comments

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    Abbreviated Journal Title

    Fuzzy Sets Syst.

    Keywords

    topology; category theory; TOPOLOGICAL-SPACES; COMPACTNESS; Computer Science, Theory & Methods; Mathematics, Applied; Statistics &; Probability

    Abstract

    The notions of regularity and weak regularity are introduced in the category of fuzzy convergence spaces, and each is shown to be an extension of regularity with respect to the embedding functor from the category of convergence spaces. Moreover, the category whose objects are weakly regular fuzzy spaces is topological and thus initial and final regular structures exist. The relationship between regularity and a diagonal condition is given. (C) 2002 Elsevier Science B.V. All rights reserved.

    Journal Title

    Fuzzy Sets and Systems

    Volume

    127

    Issue/Number

    3

    Publication Date

    1-1-2002

    Document Type

    Article

    Language

    English

    First Page

    281

    Last Page

    289

    WOS Identifier

    WOS:000175295800003

    ISSN

    0165-0114

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