Varieties of algebras based on strict t-norms and involutive negations

Abstract

Keywords

Full Paper

Bibtex entry

@InProceedings{CintulaKlementMesiarNavara-FSTA06,
  author =      {Cintula, Petr and Klement, Erich Peter and Mesiar, Radko and Navara, Mirko},
  title =       {Varieties of algebras based on strict t-norms and involutive negations},
  year =        {2006},
  pages =       {8--9},
  booktitle =   {FSTA06: Abstracts of 8th International Conference on Fuzzy Set Theory and Applications},
  editor =      {E.P.~Klement and R.~Mesiar and E.~Drobn{\'a} and F.~Chovanec},
  publisher =   {Academy of Armed Forces of General M.R.~{\v S}tef{\'a}nik},
  address =     {Liptovsk{\'y} Mikul{\'a}{\vs}, Slovakia},
  isbn =        {80-8040-284-1},
  book_pages =  {112},
  month =       {January--February},
  day =         {30--3},
  venue =       {Academy of Armed Forces of General M.R.~{\vS}tef{\'a}nik,
                  Liptovsk{\'y} J{\'a}n, Slovakia},
  organization ={Slovak Academy of Sciences, Institute of Mathematics 
                 in Bratislava, Slovakia},
  annote = {Algebras based on triangular norms (and their residua)
    appeared naturally as models of fuzzy logics.  They also form a
    basis for measure theory on collections of fuzzy sets.  We
    conclude that there are (at least) countably many different fuzzy
    logics based on strict t-norms and involutive negations.  },
  keywords =    {fuzzy set, fuzzy logic, involutive fuzzy negation, 
                 triangular norm, Hamacher product},
  psurl =       {[PDF]},
}