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Archimedean components of triangular norms

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    0411469 - UTIA-B 20050199 RIV AU eng J - Journal Article
    Klement, E.P. - Mesiar, Radko - Pap, E.
    Archimedean components of triangular norms.
    [Archimedovské komponenty triangulárnych noriem.]
    Journal of the Australian Mathematical Society Series A-Pure Mathematics and Statistics. Roč. 22, č. 78 (2005), s. 239-255. ISSN 1446-7887. E-ISSN 1446-8107
    R&D Projects: GA ČR GA402/04/1026
    Institutional research plan: CEZ:AV0Z10750506
    Keywords : triangular norm * Archimedean components of triangular norms * ordinal sum, additive generator
    Subject RIV: BA - General Mathematics
    Impact factor: 0.317, year: 2005

    The Archimedean components of triangular norms are studied, in particular their extension to triangular norms, and some construction methods for Archimedean components are given. The triangular norms which are uniquely determined by their Archimedean components are characterized. Using ordinal sums and additive generators, new types of left-continuous triangular norms are constructed.

    Študujeme Archimedovské komponenty triangulárnych noriem, najmä ich rozšírenie na triangulárne normy, ako aj niektoré konštrukcie Archimedovských komponent. Charakterizujeme triangulárne normy, ktoré sú jednoznačne určené svojimi Archimedovskými komponentami. Pomocou ordinálnych súčtov a aditívnych generátorov konštruujeme nové typy zľava spojitých t-noriem.
    Permanent Link: http://hdl.handle.net/11104/0131549

     
     

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