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**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.

### MSC:

90C32 | Fractional programming |

90C05 | Linear programming |

90B50 | Management decision making, including multiple objectives |

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\textit{G. R. Jahanshahloo} et al., Appl. Math. Modelling 35, No. 1, 544--549 (2011; Zbl 1202.90249)

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### References:

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