This talk mainly focuses on two subjects. Thefirstis about the additive generators of t-norms on bounded lattices. First we extend the classical additive generators theorem to the partially ordered cases by adding one more condition. Then we discuss some properties of these constructed t-norms. Besides, we give a more convenient modification of above theorem on finite bounded lattices. Thesecondsubject is about the representation of nullnorms on bounded lattices. In this part we focus on the nullnorms whose values are all comparable with their absorbing elements first. This subclass is a large one. We give the full characterization for this class and show that every nullnorm in this class is totally determined by the underlying functions and the values on the boundary. Furthermore, we find that the full characterization of arbitrary nullnorms on bounded lattices can be achieved if only we can characterize the block where both the two variables are incomparable with the absorbing elements.