• DocumentCode
    2599355
  • Title

    Invariant fuzzy measures on a finite algebra

  • Author

    Karkishchenko, A.N.

  • Author_Institution
    Dept. of Higher Math., State Univ. of Radio-Eng., Taganrog, Russia
  • fYear
    1996
  • fDate
    19-22 Jun 1996
  • Firstpage
    588
  • Lastpage
    592
  • Abstract
    The problem of investigating fuzzy measures which are invariant under a certain automorphism group is raised. A description of invariant fuzzy measures on a finite algebra is given. It is shown that the geometric dimension of invariant fuzzy measure polyhedron depends on the number of orbits of the corresponding group. This number is found for a cyclic automorphism group
  • Keywords
    algebra; fuzzy set theory; automorphism group; cyclic automorphism group; finite algebra; geometric dimension; invariant fuzzy measure polyhedron; invariant fuzzy measures; Algebra; Extraterrestrial measurements; Fuzzy sets; Mathematics; Orbits; Probability;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Fuzzy Information Processing Society, 1996. NAFIPS., 1996 Biennial Conference of the North American
  • Conference_Location
    Berkeley, CA
  • Print_ISBN
    0-7803-3225-3
  • Type

    conf

  • DOI
    10.1109/NAFIPS.1996.534802
  • Filename
    534802
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2599355