• DocumentCode
    3383622
  • Title

    Normal forms and truth tables for interval-valued fuzzy logic

  • Author

    Gehrke, Mai ; Walker, Carol ; Walker, Elbert

  • Author_Institution
    Dept. of Math. Sci., New Mexico State Univ., Las Cruces, NM, USA
  • Volume
    3
  • fYear
    2001
  • fDate
    25-28 July 2001
  • Firstpage
    1327
  • Abstract
    In this paper, we provide normal forms and truth tables for interval-valued fuzzy logic which are analogous to those for classical logic, i.e. analogous to the disjunctive and conjunctive normal forms and truth tables for Boolean algebras. We give an algorithm for rewriting an expression to obtain its disjunctive normal form. We also give an algorithm for obtaining the disjunctive normal form of an expression from its table of truth values
  • Keywords
    Boolean algebra; fuzzy logic; Boolean algebras; conjunctive normal form; disjunctive normal form; expression rewriting; interval-valued fuzzy logic; truth tables; truth values; Boolean algebra; Fuzzy logic; Fuzzy sets; Lattices; Logic functions; Mathematics; Polynomials;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    IFSA World Congress and 20th NAFIPS International Conference, 2001. Joint 9th
  • Conference_Location
    Vancouver, BC
  • Print_ISBN
    0-7803-7078-3
  • Type

    conf

  • DOI
    10.1109/NAFIPS.2001.943740
  • Filename
    943740
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3383622