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Non-commutative ordinal sum construction

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F25%3AA26038KQ" target="_blank" >RIV/61988987:17610/25:A26038KQ - isvavai.cz</a>

  • Result on the web

    <a href="https://www.sciencedirect.com/science/article/pii/S0165011425000478" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0165011425000478</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.fss.2025.109308" target="_blank" >10.1016/j.fss.2025.109308</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Non-commutative ordinal sum construction

  • Original language description

    The construction methods for associative functions are discussed. The focus is on summand-based construction methods as an extension of the ordinal sum and the z-ordinal sum. While the ordinal sum and the z-ordinal sum can be assumed to be commutative summand-based construction methods, since theyconstruct commutative functions from commutative summands, the non-commutative ordinal sum, which constructs non-commutative functions from commutative summands is introduced. The decomposition of a semi-t-operator via a non-commutative ordinal sum is also shown.

  • 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

    <a href="/en/project/EF17_049%2F0008414" target="_blank" >EF17_049/0008414: Centre for the development of Artificial Intelligence Methods for the Automotive Industry of the region</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2025

  • 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

    1872-6801

  • Volume of the periodical

  • Issue of the periodical within the volume

    May 2025

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    19

  • Pages from-to

  • UT code for WoS article

    001426128700001

  • EID of the result in the Scopus database

    2-s2.0-85217086296