Value efficiency based on semi-additive production technology in DEA

Value efficiency obtain the efficiency of decision-making units in data envelopment analysis (DEA) by incorporating a Decision Maker's (DM) a priori knowledge into the analysis. In this regard, we can consider different production technologies in DEA. One of these technologies is semi-additive production technology. The semi-additive production technology based on the observation decision making units and the set of aggregations units corresponding with these units. In this paper, we first introduce the concepts of value efficiency and semi-additive production technology and then calculate the value efficiency of decision-making units in the semi-additive production technology. We show that the value efficiency scores that calculate based on the semi-additive production technology is different from the value efficiency scores of other technologies and we can calculate the correct score of value efficiency. In the following, we compare the proposed approach in this paper with previous approach for measuring value efficiency to a case study related to data sets from banks in Finland, and finally we bring the results of the research.