• DocumentCode
    635861
  • Title

    Fuzzy Logic as a geometry

  • Author

    Belluce, Lawrence Peter ; Di Nola, Antonio ; Lenzi, Giacomo

  • Author_Institution
    Dept. of Math., Univ. of British Columbia, Vancouver, BC, Canada
  • fYear
    2013
  • fDate
    24-28 June 2013
  • Firstpage
    1249
  • Lastpage
    1251
  • Abstract
    We identify polynomial functions over any MV algebra with a kind of truncated function, give a form of Nullstellensatz for A[x1,...,xn], and give a universal algebraic duality between algebraic sets and their coordinate algebras.
  • Keywords
    Boolean algebra; duality (mathematics); functions; fuzzy logic; geometry; multivalued logic; set theory; Boolean algebra generalization; MV algebra; algebraic model; algebraic sets; coordinate algebras; fuzzy logic; geometry; many-valued Łukasiewicz logic; mathematical structure; polynomial functions; truncated functions; universal algebraic duality; Boolean algebra; Educational institutions; Electronic mail; Fuzzy logic; Polynomials;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS), 2013 Joint
  • Conference_Location
    Edmonton, AB
  • Type

    conf

  • DOI
    10.1109/IFSA-NAFIPS.2013.6608580
  • Filename
    6608580
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=635861