A general method for constructing left-continuous t-norms

@article{Jenei2003AGM,
  title={A general method for constructing left-continuous t-norms},
  author={S{\'a}ndor Jenei and Franco Montagna},
  journal={Fuzzy Sets and Systems},
  year={2003},
  volume={136},
  pages={263-282}
}
A new method for constructing (left-continuous) t-norms is introduced and analyzed in this paper. We shall construct via embedding a left-continuous t-norm from any countable residuated totally and densely ordered commutative integral monoid. Moreover, we can construct a left-continuous t-norm from any countable, totally ordered, commutative integral monoid which is not necessarily densely ordered and residuated. A special case, the embedding of such monoids on lexicographic product spaces is… CONTINUE READING