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Explicit Formulas for Generators of Triangular Norms
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SYSNO ASEP 0341931 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Explicit Formulas for Generators of Triangular Norms Tvůrce(i) Navara, M. (CZ)
Petrík, Milan (UIVT-O) RID, SAI, ORCID
Sarkoci, P. (AT)Zdroj.dok. Publicationes Mathematicae-Debrecen. - : Kossuth Lajos Tudomanyegyetem - ISSN 0033-3883
Roč. 77, 1-2 (2010), s. 171-191Poč.str. 21 s. Jazyk dok. eng - angličtina Země vyd. HU - Maďarsko Klíč. slova continuous Archimedean triangular norm ; additive generator ; multiplicative generator Vědní obor RIV BA - Obecná matematika CEZ AV0Z10300504 - UIVT-O (2005-2011) UT WOS 000279796100012 EID SCOPUS 77954909379 Anotace Triangular norms are associative operations which represent conjunctions in fuzzy logic. They were also studied in the context of probabilistic metric spaces. It is known that each continuous Archimedean triangular norm can be determined by additive and multiplicative generators. However, finding a generator of a given triangular norm may be a difficult task. The geometry of the generator does not seem to reflect the properties of the triangular norm in an intuitive way. We show that this need not be the case for a large class of triangular norms which allow to reconstruct the generators from partial derivatives of triangular norms. This class is broad enough to cover all continuous Archimedean triangular norms which we found in the literature. Pracoviště Ústav informatiky Kontakt Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Rok sběru 2011
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