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A 0-1 Law in Mathematical Fuzzy Logic

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F22%3A00550074" target="_blank" >RIV/67985556:_____/22:00550074 - isvavai.cz</a>

  • Alternative codes found

    RIV/67985955:_____/22:00561334

  • Result on the web

    <a href="https://ieeexplore.ieee.org/document/9628030" target="_blank" >https://ieeexplore.ieee.org/document/9628030</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1109/TFUZZ.2021.3131200" target="_blank" >10.1109/TFUZZ.2021.3131200</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    A 0-1 Law in Mathematical Fuzzy Logic

  • Original language description

    This paper continues the theoretical study of weighted structures in mathematical fuzzy logic focusing on the finite model theory of fuzzy logics valued on arbitrary finite MTL-chains. We show that for any first-order (or infinitary with finitely many variables) formula phi, there is a unique truth-value that phi takes almost surely in every finite many-valued model and such that every other truth-value is almost surely not taken. This generalizes a theorem in the fuzzy setting due to Robert Kosik and Christian G. Fermuller.

  • 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/GM21-23610M" target="_blank" >GM21-23610M: Logical Structure of Information Channels</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

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

    IEEE Transactions on Fuzzy Systems

  • ISSN

    1063-6706

  • e-ISSN

    1941-0034

  • Volume of the periodical

    30

  • Issue of the periodical within the volume

    9

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    8

  • Pages from-to

    3833-3840

  • UT code for WoS article

    000848264000038

  • EID of the result in the Scopus database

    2-s2.0-85120858567