Two effective total ranking models for preference voting and aggregation

被引：7
作者：
Hadi-Vencheh A. [1 ]
机构：
[1] Department of Mathematics, Isfahan (Khorasgan) Branch, Islamic Azad University, Isfahan
来源：
Mathematical Sciences | 2014年 / 8卷 / 1期
关键词：
Data envelopment analysis; Preference voting; Scoring rules;
D O I：
10.1007/s40096-014-0115-8
中图分类号：
学科分类号：
摘要：
Data envelopment analysis (DEA), a useful assessment tool, has been used to solve the problem of preference voting and aggregation which requires the determination of the weights associated with different ranking places. Instead of applying the same externally imposed weighting scheme to all candidates, DEA models allow each candidate to choose his/her own weights to maximize his/her own overall ratings subject to certain conditions. This paper proposes two new models to assess the weights. The proposed models are linear programming, which determine a common set of weights for all the candidates. The proposed models are examined with two numerical examples and it is shown that the proposed models can not only choose a winner, but also give a full ranking of all the candidates. © 2014, The Author(s).
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  • [1] Brams S.J., Fishburn P.C., Voting procedures, Handbook of Social Choice and Welfare, 1, (2002)
  • [2] Cook W.D., Kress M., A data envelopment model for aggregating preference rankings, Manag. Sci., 36, pp. 1302-1310, (1990)
  • [3] Green R.H., Doyle J.R., Cook W.D., Preference voting and project ranking using DEA and cross-evaluation, Eur. J. Oper. Res., 90, 3, pp. 461-472, (1996)
  • [4] Foroughi A.A., Tamiz M., An effective total ranking model for a ranked voting system, Omega, 33, pp. 491-496, (2005)
  • [5] Foroughi A.A., Jones D.F., Tamiz M., A selection method for a preferential election, Appl. Math. Comput., 163, pp. 107-116, (2005)
  • [6] Hashimoto A., A ranked voting system using a DEA/AR exclusion model: a note, Eur. J. Oper. Res., 97, pp. 600-604, (1997)
  • [7] Noguchi H., Ogawa M., Ishii H., The appropriate total ranking method using DEA for multiple categorized purposes, J. Comput. Appl. Math., 146, pp. 155-166, (2002)
  • [8] Obata T., Ishii H., A method for discriminating efficient candidates with ranked voting data, Eur. J. Oper. Res., 151, pp. 233-237, (2003)
  • [9] Wang Y.M., Liu J., Elhag T.M.S., An integrated AHP–DEA methodology for bridge risk assessment, Comput. Ind. Eng., 54, pp. 513-525, (2008)
  • [10] Wang Y.M., Chin K.S., Yang J.B., Three new models for preference voting and aggregation, J. Oper. Res. Soc., 58, 10, pp. 1389-1393, (2007)
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