Tolerances, interval orders, and semiorders
Melvin F. Janowitz · Czechoslovak Mathematical Journal · 1994
The paper discusses interval orders and semiorders from the viewpoint of tolerance relations on lattices.By concentrating on properties of the associated indifference relations, if is possible to characterize interval orders as moot tolerances and semiorders as lattice tolerances on a chain.Some consideration is also given to partial interval orders and partial semiorders and they are related to certain kinds of posct tolerances.