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Representation and extension of states on MV-algebras

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F06%3A00040540" target="_blank" >RIV/67985556:_____/06:00040540 - isvavai.cz</a>

  • Alternative codes found

    RIV/68407700:21230/06:00130613

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Representation and extension of states on MV-algebras

  • Original language description

    States on MV-algebras were introduced in effort to capture a notion of an average truth-value of proposition in Lukasiewicz many-valued logic. In the presented paper, an integral representation theorem for finitely-additive states on semisimple MV-algebra will be proven.

  • Czech name

    Reprezentace a rozsirovani stavu na MV-algebrach

  • Czech description

    Stavy na MV-algebrach modeluji pojem prumerne miry pravdivosti vyrokovych formuli v Lukasiewiczove vicehodnotove logice. V praci je dokazana integralni reprezentace stavu na klanech spojitych funkci.

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/1M0572" target="_blank" >1M0572: Data, algorithms, decision making</a><br>

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2006

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Archive for Mathematical Logic

  • ISSN

    1432-0665

  • e-ISSN

  • Volume of the periodical

    45

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    DE - GERMANY

  • Number of pages

    12

  • Pages from-to

    381-392

  • UT code for WoS article

  • EID of the result in the Scopus database