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

الموضوعات : مجله بین المللی ریاضیات صنعتی

A. A. Foroughi ¹

1 - Department of Mathematics, University of Qom, Isfahan old road, Qom, 3716146611, Iran.

تاريخ الإرسال : 03 الأحد , شعبان, 1435 تاريخ التأكيد : 03 الأحد , شعبان, 1435 تاريخ الإصدار : 02 الخميس , رجب, 1435

الکلمات المفتاحية: Data Envelopment Analysis, Voting, Ranking, Interval e&#x0E, fficiency, The least relative total&#x0D, &#x0D, sco,

ملخص المقالة :

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 eciencies which can be used in ranking the candidates. Numerical examples illustrate some advantages of the proposed approach.