• DocumentCode
    2632191
  • Title

    On a consistent fuzzy operator system

  • Author

    Dombi, József

  • Author_Institution
    Dept. of Comput. Algorithms & Artificial Intell., Univ. of Szeged, Szeged, Hungary
  • fYear
    2010
  • fDate
    5-7 May 2010
  • Firstpage
    137
  • Lastpage
    143
  • Abstract
    We give a new representation theorem of the negation based on the generator function of the strict operator. We study a certain class of strict monotone operators which build DeMorgan class with infinite negations. We show that the necessary and sufficient condition for this operator class is fc(x)fd(x) = 1; where fc(x) and fd(x) are the generator function of the conjunctive and disjunctive operators.
  • Keywords
    Algebra; Artificial intelligence; Books; Boundary conditions; Buildings; Equations; Fuzzy systems; Logic; Sufficient conditions; DeMorgan class; Pan operator; aggregative operators; conjunctive operators; disjunctive operators; negations; pliant systems; t-conorms; t-norms; uninorms;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Intelligent Engineering Systems (INES), 2010 14th International Conference on
  • Conference_Location
    Las Palmas, Spain
  • Print_ISBN
    978-1-4244-7650-3
  • Type

    conf

  • DOI
    10.1109/INES.2010.5483860
  • Filename
    5483860
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2632191