TY - MGZN
AU - Boixader, D.
AU - Recasens, J.
T2 - Applied artificial intelligence
Y1 - 2015
VL - 29
IS - 5
SP - 514
EP - 530
DO - 10.1080/08839514.2015.1026663
UR - http://www.tandfonline.com/doi/abs/10.1080/08839514.2015.1026663#.VZum_RvtlBc
AB - This article studies T-preorders that can be generated in a natural way by a single fuzzy subset. These T-preorders are called one-dimensional and are of great importance, because every T-preorder can be generated by combining one-dimensional T-preorders.; In this article, the relation between fuzzy subsets generating the same T-preorder is given, and one-dimensional T-preorders are characterized in two different ways: They generate linear crisp orderings on X and they satisfy a Sincov-like functional equation. This last characterization is used to approximate a given T-preorder by a one-dimensional one by relating the issue to Saaty matrices used in the Analytical Hierarchical Process. Finally, strong complete T-preorders, important in decision-making problems, are also characterized.
TI - Generation and Characterization of Fuzzy T-preorders
ER -