@InProceedings{Petrik:ISCAM2007,
  IS = { zkontrolovano 15 Dec 2007 },
  UPDATE  = { 2007-12-11 },
  author =      { Petr{\'\i}k, Milan },
  title =       { Reconstruction of multiplicative and additive generators of strict t-norms },
  year =        { 2007 },
  pages =       { 31--32 },
  booktitle =   { ISCAM 2007: International Conference in Applied 
                  Mathematics for Undergraduate and Graduate Students },
  editor =      { Bogn{\'a}r, Tom{\'a}{\v s} and  {\v C}ipkov{\'a}, Karla and 
                  Zajac, Michal },
  publisher =   { FEI, Slovak University of Technology },
  address =     { Bratislava, Slovakia },
  book_pages =  { 48 },
  month =       { April },
  day =         { 20--21 },
  venue =       { Bratislava, Slovakia },
  annote = { Having a multiplicative resp. additive generator, it is
    easy to construct the corresponding strict t-norm. We have posed
    the inverse question: how can we reconstruct the multiplicative
    resp. additive generator if we have a strict t-norm defined.  We
    give two methods for reconstruction of multiplicative
    resp. additive generators for two classes of strict t-norms.  The
    first class is characterized by existence of a multiplicative
    generator g such that g'(0) in 0-inf.  We show that in this case
    the shape of the multiplicative generator corresponds to the shape
    of the t-norm in the neighbourhood of the axis given by equations
    x=0 or y=0.  The next class is characterized by existence of an
    additive generator t such that t'(1) in 0-inf.  The shape of the
    additive generator corresponds, in this case, to the shape of the
    t-norm in the neighbourhood of the axis given by equations x=1 or
    y=1. },
  keywords =    { fuzzy logic, t-norm, associative function },
  prestige =    { local },
  authorship =  { 100 },
  project =     { GACR 201/07/1136 },
  www         = { http://zeus.elf.stuba.sk/Katedry/KM/iscam/ },
}