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States in Lukasiewicz logic correspond to probabilities of rational polyhedra

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F12%3A00376409" target="_blank" >RIV/67985556:_____/12:00376409 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1016/j.ijar.2011.10.007" target="_blank" >http://dx.doi.org/10.1016/j.ijar.2011.10.007</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.ijar.2011.10.007" target="_blank" >10.1016/j.ijar.2011.10.007</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    States in Lukasiewicz logic correspond to probabilities of rational polyhedra

  • Original language description

    It will be shown that probabilities of infinite-valued events represented by formulas in Lukasiewicz propositional logic are in one-to-one correspondence with tight probability measures over rational polyhedra in the unit hypercube. This result generalizes a recent work on rational measures of polyhedra and provides an elementary geometric approach to reasoning under uncertainty with states in Lukasiewicz logic.

  • Czech name

  • Czech description

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

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

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2012

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    International Journal of Approximate Reasoning

  • ISSN

    0888-613X

  • e-ISSN

  • Volume of the periodical

    53

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    13

  • Pages from-to

    435-446

  • UT code for WoS article

    000302970000001

  • EID of the result in the Scopus database