Aggregating preference rankings using an optimistic-pessimistic approach: Closed-form expressions

作者: Bonifacio Llamazares

DOI: 10.1016/J.CIE.2017.05.035

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摘要: Abstract There exist in the literature several models to tackle problem of aggregating preferences rankings where each alternative is evaluated with most favorable scoring vector for it (which can be considered as an optimistic approach). Recently, Khodabakhshi and Aryavash (2015) have suggested a new model both pessimistic approaches are taken into account. In this paper we provide closed-form expressions scores alternatives when proposed by these authors used. The obtained allow us analyze suggest some small modifications.

参考文章(31)
Vincent Merlin, The axiomatic characterizations of majority voting and scoring rules Mathématiques et sciences humaines. Mathematics and social sciences. pp. 87- 109 ,(2003) , 10.4000/MSH.2919
Peter C. Fishburn, Inverted orders for monotone scoring rules Discrete Applied Mathematics. ,vol. 3, pp. 27- 36 ,(1981) , 10.1016/0166-218X(81)90025-1
I Contreras, MA Hinojosa, AM21241671122 Mármol, A class of flexible weight indices for ranking alternatives IMA Journal of Management Mathematics. ,vol. 16, pp. 71- 85 ,(2005) , 10.1093/IMAMAN/DPH033
Y M Wang, K S Chin, J B Yang, Three new models for preference voting and aggregation Journal of the Operational Research Society. ,vol. 58, pp. 1389- 1393 ,(2007) , 10.1057/PALGRAVE.JORS.2602295
Bonifacio Llamazares, Teresa Peña, Scoring rules and social choice properties: some characterizations Theory and Decision. ,vol. 78, pp. 429- 450 ,(2015) , 10.1007/S11238-014-9429-0
NingShen Wang, RongHua Yi, Dian Liu, A solution method to the problem proposed by Wang in voting systems Journal of Computational and Applied Mathematics. ,vol. 221, pp. 106- 113 ,(2008) , 10.1016/J.CAM.2007.10.006
Hanif D. Sherali, Mokhtar S. Bazaraa, John J. Jarvis, Linear Programming and Network Flows ,(1977)
Tsuneshi Obata, Hiroaki Ishii, A method for discriminating efficient candidates with ranked voting data European Journal of Operational Research. ,vol. 151, pp. 233- 237 ,(2003) , 10.1016/S0377-2217(02)00597-0
A. Hadi-Vencheh, Two effective total ranking models for preference voting and aggregation mathematical sciences. ,vol. 8, pp. 115- ,(2014) , 10.1007/S40096-014-0115-8
Rodney H. Green, John R. Doyle, Wade D. Cook, Preference voting and project ranking using DEA and cross-evaluation European Journal of Operational Research. ,vol. 90, pp. 461- 472 ,(1996) , 10.1016/0377-2217(95)00039-9