Počet záznamů: 1

On a Graded Notion of t-norm and Dominance

  1. 1.
    0343746 - UIVT-O 2011 RIV US eng C - Konferenční příspěvek (zahraniční konf.)
    Běhounek, Libor - Cintula, Petr - Bodenhofer, U. - Saminger-Platz, S. - Sarkoci, P.
    On a Graded Notion of t-norm and Dominance.
    Proceedings of the 40th IEEE International Symposium on Multple-valued logic. Los Alamitos: IEEE Computer Society, 2010, s. 73-78. ISBN 978-0-7695-4024-5. ISSN 0195-623X.
    [ISMVL 2010. IEEE International Symposium on Multiple-Valued Logic /40./. Barcelona (ES), 26.05.2010-28.05.2010]
    Grant CEP: GA ČR GPP103/10/P234; GA ČR GEICC/08/E018
    Výzkumný záměr: CEZ:AV0Z10300504
    Klíčová slova: fuzzy connective * fuzzy class theory * gradual property * t-norm * dominance
    Kód oboru RIV: BA - Obecná matematika

    The paper studies graded properties of MTL-Delta-valued binary connectives, focusing on conjunctive connectives such as t-norms, uninorms, aggregation operators, or quasicopulas. The graded properties studied include monotony, a generalized Lipschitz property, unit and null elements, commutativity, associativity, and idempotence. Finally, a graded notion of dominance is investigated and applied to transmission of graded properties of fuzzy relations. The framework of Fuzzy Class Theory (or higher-order fuzzy logic) is employed as a tool for easy derivation of graded theorems on the connectives.
    Trvalý link: http://hdl.handle.net/11104/0186152
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