A note on regularity

    Authors

    H. Boustique;G. Richardson

    Comments

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    Abbreviated Journal Title

    Fuzzy Sets Syst.

    Keywords

    Stratified L-filters; Lattice-valued convergence; Regularity; LATTICE-VALUED CONVERGENCE; SPACES; Computer Science, Theory & Methods; Mathematics, Applied; Statistics &; Probability

    Abstract

    An alternative characterization of Gahler's definition of regularity of a lattice-valued convergence space is given. In particular, a space is regular exactly whenever convergence of filters remains invariant with respect to taking "closures." Verification employs a slight modification of the work by Jager. (C) 2010 Elsevier B.V. All rights reserved.

    Journal Title

    Fuzzy Sets and Systems

    Volume

    162

    Issue/Number

    1

    Publication Date

    1-1-2011

    Document Type

    Article

    Language

    English

    First Page

    64

    Last Page

    66

    WOS Identifier

    WOS:000284798600005

    ISSN

    0165-0114

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