The paper discusses the suitability of T-transitivity for modelling approximate equality. It explains how T-transitivity, a property suitable for modelling vagueness, can still be used to handle the imprecision inherent in approximate equality. Further remarks on resemblance relations are made to clarify how far they improve traditional fuzzy equivalence relations.
Boixader, D. On the relationship between T-transitivity and approximate equality. "Fuzzy sets and systems", Gener 2003, vol. 133, núm. 2, p. 161-169.