Abstract
In this paper, we introduce data envelopment analysis (DEA) model into rough sets, and propose a novel three-way decision model to deal with the decision problems with multiple decision attributes. On the integration of the “trisecting-acting-outcome (TAO)” framework of three-way decision (3WD) and DEA model, three ordered regions (i.e. efficient region, weakly efficient region, and inefficient region) are generated in the trisecting part. The corresponding strategies are subsequently adopted to process these three regions in the acting part. Specifically, the decision making units (DMUs) in the efficient region are considered as benchmarks for the other two regions; three projection strategies are designed to improve the DMUs in the weakly efficient and inefficient regions. Besides, the effectiveness of the results of trisecting and acting is measured in the outcome evaluation part. Finally, two numerical examples are provided to validate the proposed model.
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