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Canonical extensions and direct sums of fuzzy ordered sets (Q2844382)

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scientific article; zbMATH DE number 6202512
Language Label Description Also known as
English
Canonical extensions and direct sums of fuzzy ordered sets
scientific article; zbMATH DE number 6202512

    Statements

    author
    Asamoah Nkwanta
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    Boniface Eke
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    publication date
    28 August 2013
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    zbMATH Keywords
    fuzzy relation
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    fuzzy poset
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    fuzzy distributive lattice
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    cover function
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    direct sum
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    canonical extension
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    title
    Canonical extensions and direct sums of fuzzy ordered sets (English)
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    review text
    In this paper, fuzzy relations are used to create partially ordered sets and lattices. Extensions of partially ordered sets and lattices are examined. The extensions include what are called canonical extensions and direct sums. It is proved that every cover function for a finitary distributive lattice is also a cover function for some nonfinitary distributive lattice.
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    reviewed by
    Fu-Gui Shi
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    Identifiers

    Mathematics Subject Classification ID
    06D72
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    06A75
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    06B75
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    zbMATH DE Number
    6202512
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