This paper develops measures, based on the Malmquist productivity index, that enables the decision making units internal efficiencies from those associated with their group characteristics. It has been assumed that the levels of inputs and outputs are not known exactly. The analysis involves the construction of an index reflecting the relative performance of example, which can be decomposed into an index for the comparison of efficiency change index and an index for comparison of technological change index. We provide a computational method for extension the Malmquist index group A relation to group B interval data. The utilization of the proposed approach is demonstrated with an illustrative example.