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Two Notions of Fuzzy Lattice Completion

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    0405569 - UIVT-O 330949 RIV CZ eng C - Conference Paper (international conference)
    Běhounek, Libor
    Two Notions of Fuzzy Lattice Completion.
    [Dva pojmy fuzzy svazového zúplnění.]
    Proceedings. Ostrava: University of Ostrava, 2005 - (Novák, V.; Štěpnička, M.), s. 22-24
    [The Logic of Soft Computing /4./, Workshop of the ERCIM Working Group on Soft Computing. Ostrava (CZ), 05.10.2005-07.10.2005]
    R&D Projects: GA AV ČR KJB100300502
    Institutional research plan: CEZ:AV0Z10300504
    Keywords : fuzzy lattice completion * fuzzy Dedekind cuts * fuzzy MacNeille completion
    Subject RIV: BA - General Mathematics

    In the framework of Henkin-style-order fuzzy logic we define two notions of fuzzy lattice completion. Out attention is restricted to dense linear crisp orderings, which are important for the theory of fuzzy real numbers. We investigate the properties of both notions and compare them with some results from the literature.

    Ve fuzzy teorii tříd se klasický pojem dedekindovského-macneillovského zúplnění rozpadá na dva různé pojmy. Tyto pojmy srovnáváme mezi sebou vzájemně a s předchozími výsledky z literatury.
    Permanent Link: http://hdl.handle.net/11104/0125723

     
     

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