• DocumentCode
    929483
  • Title

    Vague sets

  • Author

    Gau, Wen-Lung ; Buehrer, Daniel J.

  • Author_Institution
    Inst. of Comput. Sci. & Inf. Eng., Nat. Chung Cheng Univ., Chia-Yi, Taiwan
  • Volume
    23
  • Issue
    2
  • fYear
    1993
  • Firstpage
    610
  • Lastpage
    614
  • Abstract
    A vague set is a set of objects, each of which has a grade of membership whose value is a continuous subinterval of [0,1]. Such a set is characterized by a truth-membership function and a false-membership function. The notion of inclusion, union, intersection, and complement are extended to such sets, and various properties of vague sets are established. Finally, convex vague sets are introduced
  • Keywords
    set theory; continuous subinterval membership grade; convex vague sets; false-membership function; set complement; set inclusion; set intersection; set union; truth-membership function; Computer science; Fuzzy sets; TV; Upper bound;
  • fLanguage
    English
  • Journal_Title
    Systems, Man and Cybernetics, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9472
  • Type

    jour

  • DOI
    10.1109/21.229476
  • Filename
    229476