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Powerset Operators in Categories with Fuzzy Relations Defined by Monads

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F22%3AA2302IRT" target="_blank" >RIV/61988987:17610/22:A2302IRT - isvavai.cz</a>

  • Result on the web

    <a href="https://link.springer.com/chapter/10.1007/978-3-030-81561-5_1#citeas" target="_blank" >https://link.springer.com/chapter/10.1007/978-3-030-81561-5_1#citeas</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/978-3-030-81561-5_1" target="_blank" >10.1007/978-3-030-81561-5_1</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Powerset Operators in Categories with Fuzzy Relations Defined by Monads

  • Original language description

    Powerset operators in categories with relations defined by monads as morphisms are investigated. Such categories are, in fact, Kleisli categories of monads in clone form. Examples of such categories used in lattice-valued F-transform theory are presented. It is proven that for arbitrary powerset operator P in a category K with a monad T there exists a powerset operator (P) over tilde of the Kleisli category K-T, which extends the original powerset operator of the category K.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • 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

    2022

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Fuzzy Information Processing 2020. NAFIPS 2020. Advances in Intelligent Systems and Computing

  • ISBN

    978-3-030-81560-8

  • ISSN

  • e-ISSN

  • Number of pages

    11

  • Pages from-to

  • Publisher name

    Springer

  • Place of publication

    Cham

  • Event location

    Redmond, USA

  • Event date

    Jan 1, 2020

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article

    000770426900001