A new method based on finding the weak and strong defining supporting hyperplanes to recognize the anchor points

One of the main important issues in Data Envelopment Analysis (DEA) is to recognize set anchor points which subset extreme efficient production possibility (PPS). An point an located on intersection strong frontier and weak frontier. In other word, each delineate from So, if a decision making unit (DMU) point, then there at least one supporting hyperplane whose gradient vector has some zero components, so input\output factor does not play any role performance under evaluation. The concept was used DEA for generation unobserved DMUs order extend so, this plays critical theory its applications. Given importance pints literature, study focuses finding presents new method search PPS variable returns scale (VRS) assumption. For purpose, we use definition present approach find PPS. proposed based defining hyperplanes passing through advantage that it exactly uses provide very simple can be easily identified by solving two models. addition, such addition determining points, also finds PPS, many problems DEA. potentially illustrated numerical examples, reported literature compare with existing methods.