An improved approach for ranking the candidates in a voting system based on effi ciency intervals

Abstract

This paper proposes improvements and revisions to a recent approach in a voting system, and provides an effective approach with a stronger discriminate power. For this purpose, the advantage of a linear transformation is utilized to rede ne a previously used concept of virtual worst candidate, by incorporating the existing weight restrictions. Then, the best score of this virtual candidate is used as a lower bound for the scores of the candidates in the models. It is shown that the proposed approach overcomes some drawbacks in the existing models. The approach determines interval e ciencies which can be used in ranking the candidates. Numerical examples illustrate some advantages of the proposed approach.