Title: Ranking of different ranking models using a voting model and its application in determining efficient candidates

Authors: M. Soltanifar, A. Ebrahimnejad, M.M. Farrokhi

Addresses: Department of Mathematics, Science & Research Branch, Islamic Azad University, Ashrafi Esfahani Blvd, Poonak Sq, Tehran, Iran. ' Department of Mathematics, Ghaemshahr Branch, Islamic Azad University, Ghaemshahr, Iran. ' Department of Management, Semnan Branch, Islamic Azad University, Semnan, Iran

Abstract: There are different ways to allow the voters to express their preferences on a set of candidates. In ranked voting systems, each voter selects a subset of the candidates and ranks them in order of preference. Cook and Kress using a data envelopment analysis/assurance region (DEA/AR) model, proposed to assess each candidate with the most favourable scoring vector for him/her. However, the use of this procedure often causes several candidates to be efficient, i.e., they achieve the maximum score. For this reason, several methods to discriminate among efficient candidates have been proposed. In this research, after reviewing the existing ranking models, we propose a new methodology to rank the ranking models for the performance indices of only DEA efficient candidates based on a voting model. Also, an approach for combining the results obtained from the ranking models is presented.

Keywords: data envelopment analysis; DEA; voting models; ranking models; voter preferences; efficient candidates.

DOI: 10.1504/IJSSS.2010.035570

International Journal of Society Systems Science, 2010 Vol.2 No.4, pp.375 - 389

Published online: 30 Sep 2010 *

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