Aggregating preference rankings using OWA operator weights

One important issue of aggregating preference rankings is to determine the weights of different ranking places. This paper proposes the use of ordered weighted averaging (OWA) operator weights to aggregate preference rankings, which allows the weights associated with different ranking places to be determined in terms of a decision maker (DM)'s optimism level characterized by an orness degree. By adjusting the DM's optimism level, ties can be avoided and winner can be selected. Two numerical examples are examined using OWA operator weights to show their applications, simplicity and flexibility in aggregating preference rankings.

[1]  W. Cook,et al.  Preference voting and project ranking using DEA and cross-evaluation , 1996 .

[2]  YM Wang,et al.  Three new models for preference voting and aggregation , 2007, J. Oper. Res. Soc..

[3]  W. Cook,et al.  A data envelopment model for aggregating preference rankings , 1990 .

[4]  M. Tamiz,et al.  An effective total ranking model for a ranked voting system , 2005 .

[5]  Robert Fullér,et al.  On Obtaining Minimal Variability Owa Operator Weights , 2002, Fuzzy Sets Syst..

[6]  H. Ishii,et al.  The appropriate total ranking method using DEA for multiple categorized purposes , 2002 .

[7]  Mehrdad Tamiz,et al.  A selection method for a preferential election , 2005, Appl. Math. Comput..

[8]  A. Hashimoto A ranked voting system using a DEA/AR exclusion model: A note , 1997 .

[9]  Ali Emrouznejad,et al.  An extended minimax disparity to determine the OWA operator weights , 2006, Comput. Ind. Eng..

[10]  Xinwang Liu,et al.  The solution equivalence of minimax disparity and minimum variance problems for OWA operators , 2007, Int. J. Approx. Reason..

[11]  Ronald R. Yager,et al.  On ordered weighted averaging aggregation operators in multicriteria decisionmaking , 1988, IEEE Trans. Syst. Man Cybern..

[12]  Hiroaki Ishii,et al.  A method for discriminating efficient candidates with ranked voting data , 2003, Eur. J. Oper. Res..

[13]  M. O'Hagan,et al.  Aggregating Template Or Rule Antecedents In Real-time Expert Systems With Fuzzy Set Logic , 1988, Twenty-Second Asilomar Conference on Signals, Systems and Computers.

[14]  Ying-Ming Wang,et al.  A minimax disparity approach for obtaining OWA operator weights , 2005, Inf. Sci..

[15]  Xinwang Liu,et al.  On the properties of equidifferent OWA operator , 2006, International Journal of Approximate Reasoning.