TY - JOUR AB - © 2016 Elsevier B.V. All rights reserved. In this paper we show that, contrary to what is the case in what concerns contractions by a single sentence, there is not a system of spheres-based construction of multiple contractions which generates each and every transitively relational partial meet multiple contraction. Before proving the general result, we consider the class of system of spheres-based multiple contractions introduced in [17,5] and show that this class neither subsumes nor is subsumed by the class of transitively relational partial meet multiple contractions. Furthermore, we propose two system of spheres-based constructions of multiple contractions which generate (only) transitively relational partial meet multiple contractions. Therefore we can conclude that, although it is impossible to obtain a system of spheres-based definition of all the transitively relational partial meet multiple contractions, there are classes of system of spheres-based multiple contractions which are subsumed by the class of transitively relational partial meet multiple contractions. AU - Reis, MDL AU - Fermé, E AU - Peppas, P DA - 2016/04/01 DO - 10.1016/j.artint.2016.01.001 EP - 141 JO - Artificial Intelligence PY - 2016/04/01 SP - 122 TI - Construction of system of spheres-based transitively relational partial meet multiple contractions: An impossibility result VL - 233 Y1 - 2016/04/01 Y2 - 2024/03/29 ER -