Počet záznamů: 1

Zero-reconstructible Triangular Norms as Universal Approximators

  1. 1.
    0329080 - UIVT-O 2011 RIV CZ eng J - Článek v odborném periodiku
    Petrík, Milan - Sarkoci, P.
    Zero-reconstructible Triangular Norms as Universal Approximators.
    Neural Network World. Roč. 20, č. 1 (2010), s. 63-67 ISSN 1210-0552
    Grant CEP: GA ČR GD401/09/H007
    Výzkumný záměr: CEZ:AV0Z10300504
    Klíčová slova: zero-reconstructible strict triangular norm * approximation * multiplicative generator * reconstruction
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 0.511, rok: 2010

    This paper is inspired by recent results which have shown that a multiplicative generator of a strict triangular norm can be reconstructed from the first partial derivatives of the triangular norm on the segment {0}x[0,1]. The strict triangular norms on which this method is applicable have been called zero-reconstructible triangular norms. This paper shows that every continuous triangular norm can be approximated (with an arbitrary precision) by a zero-reconstructible one and thus substantiates the significance of this subclass of strict triangular norms.
    Trvalý link: http://hdl.handle.net/11104/0005437
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