A N ew Voting Model For Groups With Members of Unequal Power and Proficiency

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SOLTANIFAR M.

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Journal: International Journal of Industrial Mathematics Year:2020 | Volume:12 | Issue:2 Page(s): 121-134

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Title

A N ew Voting Model For Groups With Members of Unequal Power and Proficiency

Author(s)

SOLTANIFAR M. | Issue Writer Certificate

Keywords

Data Envelopment Analysis

Voting

Group decision support system

Ranking

Abstract

Cook et al. [A data envelopment model for aggregating preference Rankings, Management Science 36 (1990) 1302-1310 ] used Data Envelopment Analysis (DEA) as their starting point to propose a procedure for rank ordering the candidates in a preferential election. Notionally, each candidate is permitted to choose the most favorable weights to be applied to his/her standings ( rst place, second place, etc. votes) in the usual DEA manner with the additional assurance region (AR) restriction that the weight for a j place vote should be more than that for a j+1 place vote by some amount. However, DEA very often identi es more than one candidate in a Voting system to be DEA e cient. So, a method to discriminate between these e cient candidates is needed. In addition to proposing a Voting model for groups with members of unequal power and pro ciency, in this paper we present some models for rank ordering e cient candidates, by extending the ideas of some authors. Then, we propose a new methodology to rank the Ranking models for the performance indices of only DEA e cient candidates based on a classical Voting model. Also, an approach for combining the results obtained from the Ranking models is presented. Finally, we employ the new method to rank order ve Iranian automobile manufacturing groups in terms of "job independence".

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APA: Copy

SOLTANIFAR, M.. (2020). A N ew Voting Model For Groups With Members of Unequal Power and Proficiency. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 12(2), 121-134. SID. https://sid.ir/paper/754250/en

Vancouver: Copy

SOLTANIFAR M.. A N ew Voting Model For Groups With Members of Unequal Power and Proficiency. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2020;12(2):121-134. Available from: https://sid.ir/paper/754250/en

IEEE: Copy

M. SOLTANIFAR, “A N ew Voting Model For Groups With Members of Unequal Power and Proficiency,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 12, no. 2, pp. 121–134, 2020, [Online]. Available: https://sid.ir/paper/754250/en

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