This paper studies T-preorders by using their Representation Theorem that states that every T-preorder on a set X can be generated in a natural way by a family of fuzzy subsets of X. Especial emphasis is made on the study of one-dimensional T-preorders (i.e.: T-preorders that can be generated by only one fuzzy subset). Strong complete T-preorders are characterized.
Boixader, D.; Recasens, J. One-dimensional T-preorders. A: International Conference of the Catalan Association for Artificial Intelligence. "Artificial Intelligence Research and Development. Recent Advances and Applications". Barcelona: IOS Press, 2014, p. 183-192.