Abstract: Among the existing DEA cross-efficiency models, aggressive model and benevolent model may lead to inconsistent ranking results which make it hard for decision maker to choose between them.Although neutral model formally solves the problem above, there is obviously a theoretical flaw in it. In view of the above questions, a new DEA cross-efficiency model, DEA cross-efficiency evaluation model by the solution strategy referring to the ideal DMU is proposed in this paper. The new model cannot only keep the decision maker from the dilimma of choosing, but also is better to stick to the DEA basis principle which is in favour of the evaluated DMU by comparing with existing models. Numerical simulation shows that the new model is more applicable to real world decisions.

Key words: DEA, cross-efficiency, ideal DMU, solution strategy