TY - JOUR
T1 - Constructing a strict total order for alternatives characterized by multiple criteria: An extension
T2 - Constructing a Strict Total Order for Alternatives
AU - Dehnokhalaji, Akram
AU - Korhonen, Pekka J.
AU - Köksalan, Murat
AU - Nasrabadi, Nasim
AU - Tezcaner Öztürk, Diclehan
AU - Wallenius, Jyrki
PY - 2014/3/1
Y1 - 2014/3/1
N2 - The problem of finding a strict total order for a finite set of multiple criteria alternatives is considered. Our research extends previous work by us, which considered finding a partial order for a finite set of alternatives. We merge the preference information extracted from the preference cones and corresponding polyhedral sets, with the information derived from pairwise comparisons of two alternatives, yielding a preference matrix. This preference matrix is used as input to an integer programming model to obtain a strict total order that provides a transitive ranking for the set of alternatives.
AB - The problem of finding a strict total order for a finite set of multiple criteria alternatives is considered. Our research extends previous work by us, which considered finding a partial order for a finite set of alternatives. We merge the preference information extracted from the preference cones and corresponding polyhedral sets, with the information derived from pairwise comparisons of two alternatives, yielding a preference matrix. This preference matrix is used as input to an integer programming model to obtain a strict total order that provides a transitive ranking for the set of alternatives.
UR - https://onlinelibrary.wiley.com/doi/10.1002/nav.21573
U2 - 10.1002/nav.21573
DO - 10.1002/nav.21573
M3 - Article
SN - 0894-069X
VL - 61
SP - 155
EP - 163
JO - Naval Research Logistics (NRL)
JF - Naval Research Logistics (NRL)
IS - 2
ER -