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On ordinal sums of partially ordered monoids: A unified approach to ordinal sum constructions of t-norms, t-conorms and uninorms

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F22%3AA23025DH" target="_blank" >RIV/61988987:17610/22:A23025DH - isvavai.cz</a>

  • Result on the web

    <a href="https://www.sciencedirect.com/science/article/pii/S0165011421001317" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0165011421001317</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.fss.2021.04.008" target="_blank" >10.1016/j.fss.2021.04.008</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    On ordinal sums of partially ordered monoids: A unified approach to ordinal sum constructions of t-norms, t-conorms and uninorms

  • Original language description

    This paper introduces two fundamental types of ordinal sum constructions for po-monoids that are determined by two specific partial orderings on the disjoint union of the po-monoids. Both ordinal sums of po-monoids are generalized with the help of operators on posets, which combine, in some sense, the properties of interior and closure operators on posets. The proposed approach provides a unified view on several known constructions of ordinal sums of t-norms and t-conorms on posets (lattices) and introduces generalized ordinal sums of uninorms on posets (lattices).

  • 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

    10101 - Pure mathematics

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

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

Others

  • Publication year

    2022

  • 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

  • Issue of the periodical within the volume

    5. října 2022

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    22

  • Pages from-to

    4-25

  • UT code for WoS article

    000862831200002

  • EID of the result in the Scopus database

    2-s2.0-85104931723