@InBook{Navara:tmeas_ch,
  IS = { zkontrolovano 19 Dec 2005 },
  UPDATE  = { 2005-12-14 },
  author =      {Mirko Navara},
  title =       {Triangular norms and measures of fuzzy sets},
  year =        {2005},
  pages =       {345--390},
  chapter =     {13},
  editor =      {Erich Peter Klement and Radko Mesiar},
  publisher =   {Elsevier},
  address =     {Amsterdam, The Netherlands},
  isbn =        {0-444-51814-2},
  book_pages =  {492},
  volume =      {Logical, Algebraic, Analytic, and Probabilistic Aspects of Triangular Norms},
  edition =     {1},
  importance =  {1},
  authorship =  {100},
  annote = {The classical measure and probability theory is based on
    the notion of Sigma-algebra of subsets of a set. Butnariu and
    Klement generalized it to fuzzy sets by considering collections of
    fuzzy sets called T-tribes (where T denotes a fixed triangular
    norm). Their concept of T-measure is fundamental in the
    fuzzification of classical measure theory. However, it has been
    successfully applied elsewhere, too (e.g., in finding solutions to
    games with fuzzy coalitions). Here we summarize results about
    characterization of measures on tribes. More generally, we study
    signed measures (called charges). Unlike preceding papers, we put
    emphasis on s-order continuous charges which preserve limits of
    increasing as well as decreasing sequences of fuzzy sets. We argue
    that this notion could be considered as a promising alternative to
    the original notion of Butnariu and Klement.},
  keywords =    {fuzzy set, triangular norm, tribe, measure, probability, state, order continuity},
  type =        {chapter},
  project =     {GACR 201/02/1540, CEEPUS SK-042},
  psurl = {[PDF]},
  www = {http://www.elsevier.com/wps/find/bookdescription.cws_home/705173/description#description
},
}