Selecting symmetric weights as a secondary goal in DEA cross-efficiency evaluation. (English) Zbl 1202.90249

Summary: In data envelopment analysis (DEA), the cross-efficiency evaluation method introduces a cross-efficiency matrix, in which the units are self and peer evaluated. A problem that possibly reduces the usefulness of the cross-efficiency evaluation method is that the cross-efficiency scores may not be unique due to the presence of alternate optima. So, it is recommended that secondary goals be introduced in cross-efficiency evaluation. In this paper we propose the symmetric weight assignment technique (SWAT) that does not affect feasibility and rewards decision making units (DMUs) that make a symmetric selection of weights. A numerical example is solved by our proposed method and its solution is compared with those of alternative approaches.


90C32 Fractional programming
90C05 Linear programming
90B50 Management decision making, including multiple objectives
Full Text: DOI


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