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Extremal Lipschitz continuous aggregation functions with a given diagonal section

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F18%3A73590121" target="_blank" >RIV/61989592:15310/18:73590121 - isvavai.cz</a>

  • Result on the web

    <a href="https://www.sciencedirect.com/science/article/pii/S0165011418300022" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0165011418300022</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.fss.2017.12.014" target="_blank" >10.1016/j.fss.2017.12.014</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Extremal Lipschitz continuous aggregation functions with a given diagonal section

  • Original language description

    In this paper we study the smallest and the greatest M-Lipschitz continuous n-ary aggregation functions with a given diagonal section. We show that several properties that were studied for the smallest and the greatest 1-Lipschitz continuous binary aggregation functions with a given diagonal section extend naturally to higher dimensions while considering different Lipschitz constants. Just as in the binary case, we show that the smallest n-quasi-copula with a given diagonal section coincides with the smallest 1-Lipschitz n-ary aggregation function with that diagonal section. Additionally, we show that the smallest n-quasi-copula with a given diagonal section, called the Bertino n-quasi-copula, is supermodular for any n &gt;= 2.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2018

  • 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

    346

  • Issue of the periodical within the volume

    SEP

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    21

  • Pages from-to

    147-167

  • UT code for WoS article

    000436569600008

  • EID of the result in the Scopus database

    2-s2.0-85041560376