• DocumentCode
    315913
  • Title

    On multidimensional evaluation lattices

  • Author

    Gisin, Vladimir

  • Author_Institution
    Dept. of Math., Gov. of the Russian Fed., Moscow, Russia
  • Volume
    2
  • fYear
    1997
  • fDate
    1-5 Jul 1997
  • Firstpage
    801
  • Abstract
    This paper presents the new construction of evaluation lattices for multidimensional fuzzy logics. Given a complete completely distributive lattice L and a linearly ordered bounded set I with an involutive negation n we construct a De Morgan algebra L(I) which provides an evaluation set for statements composed with positive, negative and intermediate atomic statements with their types varying in I
  • Keywords
    algebra; fuzzy logic; fuzzy set theory; multivalued logic; De Morgan algebra; complete completely distributive lattice; evaluation set; intermediate atomic statements; involutive negation; linearly ordered bounded set; multidimensional evaluation lattices; multidimensional fuzzy logics; negative atomic statements; positive atomic statements; Algebra; Finance; Fuzzy logic; Government; Lattices; Logic functions; Mathematics; Multidimensional systems; Ontologies; Region 8;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Fuzzy Systems, 1997., Proceedings of the Sixth IEEE International Conference on
  • Conference_Location
    Barcelona
  • Print_ISBN
    0-7803-3796-4
  • Type

    conf

  • DOI
    10.1109/FUZZY.1997.622812
  • Filename
    622812
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=315913