• DocumentCode
    344719
  • Title

    A new family of fuzzy operators and its use in the break-collapse method

  • Author

    Tsallis, Constantino ; Neto, Camilo Rodrigues ; Sandri, Sandra

  • Author_Institution
    CBPF, Rio de Janeiro, Brazil
  • Volume
    1
  • fYear
    1999
  • fDate
    22-25 Aug. 1999
  • Firstpage
    179
  • Abstract
    We introduce a new parameterized family of fuzzy operators (t-norms, t-conorms and negation) which satisfies all the standard requirements and contains, as particular cases, both Hamacher (1978) and Sugeno operators. In addition to this, we show that the break-collapse method (used in graph theory for some magnetic models) is applicable for these operators. The procedure is illustrated on the Wheatstone bridge topology.
  • Keywords
    fuzzy set theory; graph theory; magnetism; Hamacher operator; Sugeno operator; Wheatstone bridge topology; break-collapse method; fuzzy operators; graph theory; magnetic models; negation; t-conorms; t-norms; Boundary conditions; Bridge circuits; Fuzzy sets; Graph theory; Laboratories; Los Angeles Council; Marine vehicles; Mathematics; Topology;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Fuzzy Systems Conference Proceedings, 1999. FUZZ-IEEE '99. 1999 IEEE International
  • Conference_Location
    Seoul, South Korea
  • ISSN
    1098-7584
  • Print_ISBN
    0-7803-5406-0
  • Type

    conf

  • DOI
    10.1109/FUZZY.1999.793231
  • Filename
    793231