• DocumentCode
    986138
  • Title

    On the Structure of Some Families of Fuzzy Measures

  • Author

    Miranda, Pedro ; Combarro, Elías F.

  • Author_Institution
    Complutense Univ. of Madrid, Madrid
  • Volume
    15
  • Issue
    6
  • fYear
    2007
  • Firstpage
    1068
  • Lastpage
    1081
  • Abstract
    The generation of fuzzy measures is an important question arising in the practical use of these operators. In this paper, we deal with the problem of developing a random generator of fuzzy measures. More concretely, we study some of the properties that any random generator should satisfy. These properties lead to some theoretical problems concerning the group of isometries that we tackle in this paper for some subfamilies of fuzzy measures.
  • Keywords
    fuzzy set theory; mathematical operators; number theory; probability; random processes; fuzzy measure; fuzzy set theory; isometric transformation; mathematical operator; number theory; probability distribution; random generator; Artificial intelligence; Combinatorial mathematics; Computational efficiency; Decision making; Force measurement; Game theory; Genetic algorithms; Partitioning algorithms; Prototypes; Statistics; Fuzzy measures; isometric transformations; random generation;
  • fLanguage
    English
  • Journal_Title
    Fuzzy Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1063-6706
  • Type

    jour

  • DOI
    10.1109/TFUZZ.2007.895953
  • Filename
    4387919