Abstract   Let   H  =  {  0  ,    1   2   ,  1  }   with the natural order and   p  &  q  =  max  ⁡  {  p  +  q  −  1  ,  0  }   for all   p  ,  q  ∈  H  . It is proved that the category of liminf complete  H -ordered sets is Cartesian closed. It reveals that there exists a Cartesian closed category consisting of non-frame valued liminf complete fuzzy ordered sets.
['Min Liu', 'Bin Zhao']
A non-frame valued Cartesian closed category of liminf complete fuzzy orders