WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 11, 2012
Improvement of Ranking Method Based on Effectiveness of Units in Society by Common Weights Approach in DEA
Authors: , ,
Abstract: The aim of this paper is to modify the suggested method by Noura et al. [25], which is a ranking method based on the effectiveness of each unit in society. They utilized the assigned weights by manager for ranking decision making units (DMUs) on the basis of the effectiveness in society, however, this is not a conventional method for determining the weights. This paper proposes common weights approach for improving its method. A multi-objective linear fractional is derived and then it was converted to a multi-objective linear programming by Taylor series. The model is solved by Max Min method. Based on the obtained optimal solution, common weights are acquired and then DMUs will be ranked. The proposed method is illustrated by ranking Taiwan forests after reorganization.
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Keywords: Data envelopment analysis, Super efficiency, Effectiveness, Multi-objective linear fractional programming, Common weights, Taylor series