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Triangular norms. Position paper III: continuous t-norms

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F04%3A00106391" target="_blank" >RIV/67985556:_____/04:00106391 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Triangular norms. Position paper III: continuous t-norms

  • Original language description

    This last part of a series of position papers on triangular norms presents the representation of continuous Archimedean t-norms by means of additive generators, and the representation of continuous t-norms by means of ordinal sums with Archimedean summands, both with full proofs. Finally some consequences of these representation theorems in the context of comparison and convergence of continuous t-norms, and of the determination of continuous t-norms by their diagonal sections are mentioned.

  • Czech name

    Triangulárne normy. Prehľadový článok III: spojité t-normy

  • Czech description

    Táto posledná časť zo série prehľadových článkov o t-normách prináša reprezentáciu spojitých Archimedovských t-noriem pomocou aditívnych generátorov, a reprezentáciu spojitých t-noriem ako ordinálnych súčtov s Archimedovskými sčítancami, v oboch prípadoch s úplnými dôkazmi. Niektoré dôsledky pre porovnávanie a konvergenciu t-noriem, resp. určenie t-noriem z ich diagonál sú pripojené

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA402%2F04%2F1026" target="_blank" >GA402/04/1026: Aggregation principles in economic-mathematical models</a><br>

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2004

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Fuzzy Sets and Systems

  • ISSN

    0165-0114

  • e-ISSN

  • Volume of the periodical

    23

  • Issue of the periodical within the volume

    145

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    16

  • Pages from-to

    439-454

  • UT code for WoS article

  • EID of the result in the Scopus database