The paper is concerned with the transitivity property of valued binary relations. A general representation theorem is established for any T-transitive valued binary relation, where T is a left-continuous triangular norm. The study is carried out by using traces of valued binary relations. Some results that have already been cited in the literature are shown to be consequences of the representation theorem. Maximal T-transitive relations contained in a given relation are also investigated and a procedure is developed to construct them.
- Maximal transitive subrelations
- Valued binary relations
ASJC Scopus subject areas
- Sociology and Political Science
- Social Sciences(all)
- Statistics, Probability and Uncertainty