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# 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} }

- Published 2003 in Fuzzy Sets and Systems
DOI:10.1016/S0165-0114(02)00275-0

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