2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/139335The results here presented are a continuation of the algebraic research line which attempts to find properties of multiple-valued systems based on a poset of two agents. The aim of this paper is to exhibit two relationships between some three-valued structures and binary relations. The established connections are so narrow that two representation theorems are obtained.11 pages, accepted to ISMVL'2001Discrete Mathematicstext