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Three new models for preference voting and aggregation

  • Technical Note
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Journal of the Operational Research Society

Abstract

Preference voting and aggregation require the determination of the weights associated with different ranking places. This paper proposes three new models to assess the weights. Two of them are linear programming (LP) models which determine a common set of weights for all the candidates considered and the other is a nonlinear programming (NLP) model that determines the most favourable weights for each candidate. The proposed models are examined with two numerical examples and it is shown that the proposed models cannot only choose a winner, but also give a full ranking of all the candidates.

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References

  • Cook WD and Kress M (1990). A data envelopment model for aggregating preference rankings. Mngt Sci 36: 1302–1310.

    Article  Google Scholar 

  • Foroughi AA, Jones DF and Tamiz M (2005). A selection method for a preferential election. Appl Math Comput 163: 107–116.

    Google Scholar 

  • Foroughi AA and Tamiz M (2005). An effective total ranking model for a ranked voting system. Omega 33: 491–496.

    Article  Google Scholar 

  • Green RH, Doyle JR and Cook WD (1996). Preference voting and project ranking using DEA and cross-evaluation. Eur J Opl Res 90: 461–472.

    Article  Google Scholar 

  • Hashimoto A (1997). A ranked voting system using a DEA/AR exclusion model: A note. Eur J Opl Res 97: 600–604.

    Article  Google Scholar 

  • Noguchi H, Ogawa M and Ishii H (2002). The appropriate total ranking method using DEA for multiple categorized purposes. J Comput Appl Math 146: 155–166.

    Article  Google Scholar 

  • Obata T and Ishii H (2003). A method for discriminating efficient candidates with ranked voting data. Eur J Opl Res 151: 233–237.

    Article  Google Scholar 

  • Wang YM and Fu GW (1993). A new multiattribute decision-making method based on DEA thought. J Ind Eng Eng Mngt 7(1): 44–49 (in Chinese).

    Google Scholar 

  • Wang YM, Yang JB and Xu DL (2005). A preference aggregation method through the estimation of utility intervals. Comput Opns Res 32: 2027–2049.

    Article  Google Scholar 

Download references

Acknowledgements

This research was supported by the project on Human Social Science of MOE, P.R. China under the Grant No. 01JA790082, and also in part by the Hong Kong Research Grants Council under the Grant No. City U-1203/04E. We would like to thank two anonymous referees for their constructive comments and suggestions, which have been very helpful in improving the paper.

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Authors and Affiliations

  1. Fuzhou University, Fuzhou, PR China

    Y M Wang

  2. The University of Manchester, Manchester, UK

    Y M Wang & J B Yang

  3. City University of Hong Kong, Kowloon, Tat Chee, Hong Kong

    K S Chin

Authors
  1. Y M Wang
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  2. K S Chin
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  3. J B Yang
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Correspondence to Y M Wang.

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Wang, Y., Chin, K. & Yang, J. Three new models for preference voting and aggregation. J Oper Res Soc 58, 1389–1393 (2007). https://doi.org/10.1057/palgrave.jors.2602295

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  • DOI: https://doi.org/10.1057/palgrave.jors.2602295

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