Aggregating preference rankings using an optimistic-pessimistic approach

When some alternatives are ranked by several voters, each alternative may be placed in different ranks. Aggregating such preference rankings into single ranking is the motivation of this study. To this end, the optimistic and pessimistic scores of each alternative are determined using a weighted sum of its ranks in all rankings. The data envelopment analysis technique is used to determine these weights. Then, the optimistic and pessimistic scores of each alternatives are aggregated into a combined score. Finally, alternatives are again ranked according to their combined scores.