• DocumentCode
    1346750
  • Title

    Interval-valued fuzzy hypergraph and fuzzy partition

  • Author

    Chen, Shyi-Ming

  • Author_Institution
    Dept. of Comput. & Inf. Sci., Nat. Chiao Tung Univ., Hsinchu, Taiwan
  • Volume
    27
  • Issue
    4
  • fYear
    1997
  • fDate
    8/1/1997 12:00:00 AM
  • Firstpage
    725
  • Lastpage
    733
  • Abstract
    This paper extends the work of H. Lee-Kwang and L.M. Lee (1995) to present the concept of the interval-valued fuzzy hypergraph. In the interval-valued fuzzy hypergraph, the concepts of the dual interval-valued fuzzy hypergraph, the crisp-valued α-cut hypergraph, and the interval-valued [α12 ]-cut at β level hypergraph are developed, where α∈ [0, 1], 0⩽α1⩽α2⩽1, and β∈ [0, 1]. We also use some examples to show that the proposed concepts are useful for the analysis and fuzzy partition of a system
  • Keywords
    computational geometry; fuzzy logic; graph theory; crisp-valued α-cut hypergraph; fuzzy partition; interval-valued fuzzy hypergraph; Councils; Fuzzy systems; Information science; Terminology;
  • fLanguage
    English
  • Journal_Title
    Systems, Man, and Cybernetics, Part B: Cybernetics, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1083-4419
  • Type

    jour

  • DOI
    10.1109/3477.604121
  • Filename
    604121