@Article{Navara-FSS2015,
  IS = { zkontrolovano 17 Mar 2015 },
  UPDATE  = { 2015-06-11 },
  author =      {Mirko Navara},
  affiliation = {13133},
  authorship =  {100},
  language =    {English},
  title =       {Convex combinations of fuzzy logical operations},
  year =        {2015},
  month =       {4},
  pages =       {51--63},
  journal =     {Fuzzy Sets and Systems},
  publisher =   {Elsevier},
  address =     {Amsterdam, NL},
  issn =        {0165-0114},
  volume =      {264},
  number =      {1},
  annote =      {One may ask when (non-trivial) convex combinations of
                  fuzzy logical operations result in operations of the
                  same type. This question has been intensively
                  studied for triangular norms and it still remains
                  open for continuous ones. An equivalent problem is
                  obtained for triangular conorms. We show equivalence
                  with the analogous problem for
                  S-implications. Negative answers are obtained for
                  strong fuzzy negations and for R-implications
                  corresponding to continuous triangular norms. The
                  situation for Q-implications and related problems
                  are discussed.},
  keywords =    {Fuzzy implication; R-implication; S-implication;
                  Q-implication; Convex combination; Triangular norm;
                  Triangular conorm; Fuzzy negation},
  project =     {SGS12/187/OHK3/3T/13},
  doi =         {10.1016/j.fss.2014.10.013},
}