| Article ID: | iaor201524015 |
| Volume: | 61 |
| Issue: | 2 |
| Start Page Number: | 155 |
| End Page Number: | 163 |
| Publication Date: | Mar 2014 |
| Journal: | Naval Research Logistics (NRL) |
| Authors: | Kksalan Murat, Wallenius Jyrki, Dehnokhalaji Akram, Korhonen Pekka J, Nasrabadi Nasim, Tezcaner ztrk Diclehan |
| Keywords: | programming: multiple criteria |
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.