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Alternative approaches to obtain t-norms and t-conorms on bounded lattices

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F20%3AA21026PY" target="_blank" >RIV/61988987:17610/20:A21026PY - isvavai.cz</a>

  • Result on the web

    <a href="https://ijfs.usb.ac.ir/article_5410.html" target="_blank" >https://ijfs.usb.ac.ir/article_5410.html</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.22111/ijfs.2020.5410" target="_blank" >10.22111/ijfs.2020.5410</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Alternative approaches to obtain t-norms and t-conorms on bounded lattices

  • Original language description

    Triangular norms in the study of probabilistic metric spaces as a special kind of associative functions defined on the unit interval. These functions have found applications in many areas since then. In this study, we present new methods for constructing triangular norms and triangular conorms on an arbitrary bounded lattice under some constraints. Also, we give some illustrative examples for the clarity. Finally, we show that our construction methods can be generalized by induction to a modified ordinal sum for triangular norms and triangular conorms on an arbitrary bounded lattice, respectively.

  • 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

    <a href="/en/project/GA18-06915S" target="_blank" >GA18-06915S: New approaches to aggregation operators in analysis and processing of data</a><br>

  • Continuities

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

Others

  • Publication year

    2020

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    IRANIAN JOURNAL OF FUZZY SYSTEMS

  • ISSN

    1735-0654

  • e-ISSN

  • Volume of the periodical

    17

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    IR - IRAN, ISLAMIC REPUBLIC OF

  • Number of pages

    18

  • Pages from-to

    121-138

  • UT code for WoS article

    000536807400009

  • EID of the result in the Scopus database

    2-s2.0-85085590379