Data envelopment analysis (DEA) has enjoyed a wide range of acceptance by researchers and practitioners alike as an instrument of performance analysis and management since its introduction in 1978. Many formulations and thousands of applications of DEA have been reported in a considerable variety of academic and professional journals all around the world.Almost all of the formulations and applications have basically centered at the concept of "relative selfevaluation", whether they are single or multistageapplications. This paper suggests a framework for enhancing the theory of DEA through employing theconcept of "relative crossevaluation" in a multistageapplication context. Managerial situations are described where such enhancedDEA (EDEA) formulations had actually been used and could also be potentially most meaningful and useful.