Representations and Characterizations of Polynomial Functions on Chains

@article{Couceiro2010RepresentationsAC,
  title={Representations and Characterizations of Polynomial Functions on Chains},
  author={Miguel Couceiro and Jean-Luc Marichal},
  journal={Multiple-Valued Logic and Soft Computing},
  year={2010},
  volume={16},
  pages={65-86}
}
We are interested in representations and characterizations of lattice polynomial functions f : L n → L, where L is a given bounded distributive lattice. In a companion paper [4], we investigated certain representations and provided various characterizations of these functions both as solutions of certain functional equations and in terms of necessary and sufficient conditions. In the present paper, we investigate these representations and characterizations in the special case when L is a chain… CONTINUE READING