Počet záznamů: 1

Reconstruction of additive generators from partial derivatives of continuous Archimedean t-norms

  1. 1.
    0358541 - UIVT-O 2012 RIV US eng C - Konferenční příspěvek (zahraniční konf.)
    Navara, M. - Petrík, Milan - Sarkoci, P.
    Reconstruction of additive generators from partial derivatives of continuous Archimedean t-norms.
    Proceedings of the 40th IEEE International Symposium on Multple-valued logic. Los Alamitos: IEEE Computer Society, 2010, s. 241-244. 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 GAP202/10/1826
    Výzkumný záměr: CEZ:AV0Z10300504
    Klíčová slova: continuous Archimedean triangular norm * additive generator * reconstruction * fuzzy logic * many-valued logic * conjunction
    Kód oboru RIV: BA - Obecná matematika

    The paper shows a direct correspondence between the first partial derivatives of a continuous Archimedean triangular norm and the first derivatives of its additive generator. An explicit formula for the additive generator is obtained. Application of the result is demonstrated on the problem of convex combinations of strict triangular norms.
    Trvalý link: http://hdl.handle.net/11104/0196546
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