• Title of article

    States on commutative basic algebras

  • Author/Authors

    Botur، نويسنده , , Michal and Hala?، نويسنده , , Radom?r and Kühr، نويسنده , , Jan، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2012
  • Pages
    15
  • From page
    77
  • To page
    91
  • Abstract
    The paper deals with states on commutative basic algebras that are a non-associative generalization of MV-algebras or, in other words, the algebraic semantics for a fuzzy logic which generalizes the Łukasiewicz logic in that the conjunction is not associative. States are defined in the same way as Mundiciʹs states on MV-algebras as normalized finitely additive [0,1]-valued functions, and some results analogous to the results that are known from MV-algebras are proved.
  • Keywords
    Representability , Ideal , State-morphism , State , De Finettiיs coherence criterion , Commutative basic algebra , MV-algebra , MV-ideal
  • Journal title
    FUZZY SETS AND SYSTEMS
  • Serial Year
    2012
  • Journal title
    FUZZY SETS AND SYSTEMS
  • Record number

    1601422

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=1601422