Probability theory of fuzzy events

Abstract

Keywords

Bibtex entry

@InProceedings{Navara-EUSFLAT05,
  author =      {Mirko Navara},
  title =       {Probability theory of fuzzy events},
  year =        {2005},
  pages =       {325--329},
  booktitle =   {EUSFLAT 2005: Fourth Conference of the European Society for
                 Fuzzy Logic and Technology and 11 Rencontres Francophones sur
                 la Logique Floue et ses Applications},
  publisher =   {Universitat Polit{\'e}cnica de Catalunya},
  address =     {Jordi Girona, 1-3, E-08034, Barcelona, Spain},
  isbn =        {84-7653-872-3},
  book_pages =  {1336},
  month =       {September},
  day =         {7-9},
  venue =       {Barcelona, Spain},
  organization ={European Society for Fuzzy Logic and Technology (EUSFLAT)},
  annote = {We compare two approaches to probability on systems of
    fuzzy sets---measures on tribes as introduced by Butnariu and
    Klement and measures on MV-algebras with product studied by
    Rie\v{c}an and Mundici.  We show that these two approaches overlap
    significantly and they confirm the original proposal of
    probability measure on fuzzy sets by Zadeh. },
  keywords =    {Probability measure, fuzzy set, tribe, MV-algebra, 
                 MV-algebra with product},
}