• DocumentCode
    2247111
  • Title

    Approximate analysis of fuzzy node fuzzy graph and its application

  • Author

    Uesu, Hiroaki ; Yamashita, Hajime ; Suda, Hiroshi ; Shinkai, Kimiaki

  • Author_Institution
    Waseda Univ., Tokyo, Japan
  • Volume
    2
  • fYear
    2004
  • fDate
    25-29 July 2004
  • Firstpage
    873
  • Abstract
    By applying the fuzzy graph theory, we could analyze the inexact information efficiently and investigate the fuzzy relation by fuzzy graph. We extend the fuzzy graph theory, and propose a fuzzy node fuzzy graph. We transform it to a crisp node fuzzy graph by using T-norm family. In this paper, we explain a fuzzy node fuzzy graph, and propose a new T-norm family "quasi logical product". By using this new T-norm, we could reasonably transform the fuzzy node fuzzy graph to the crisp node fuzzy graph. Moreover, we illustrate its effectiveness through the sociometry analysis.
  • Keywords
    fuzzy set theory; graph theory; social sciences; T-norm family; crisp node fuzzy graph; fuzzy graph theory; fuzzy node fuzzy graph; quasilogical product; sociometry analysis; Boundary conditions; Fuzzy logic; Fuzzy sets; Graph theory; Information analysis;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Fuzzy Systems, 2004. Proceedings. 2004 IEEE International Conference on
  • ISSN
    1098-7584
  • Print_ISBN
    0-7803-8353-2
  • Type

    conf

  • DOI
    10.1109/FUZZY.2004.1375519
  • Filename
    1375519