A binary relation language is an important tool of the theory of measurements (see, for example, book [5]). Specifically, the theory of nominal and ordinal scales is based on theories of equivalent relations and weak orderings. These binary relations have a simple structure which can be described as follows (bearing in mind a context of the measurement theory).
@article{urn:eudml:doc:38886,
title = {On fuzzy binary relations.},
journal = {Stochastica},
volume = {7},
year = {1983},
pages = {229-242},
zbl = {0574.04004},
mrnumber = {MR0773827},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38886}
}
Ovchinnikov, Sergei V.; Riera Madurell, Teresa. On fuzzy binary relations.. Stochastica, Tome 7 (1983) pp. 229-242. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38886/