@article {IOPORT.06080636, author = {Hosseinzadeh Lotfi, Farhad and Jahanshahloo, G. R. and Mehrabian, S. and Zamani, P.}, title = {Finding strong defining hyperplanes of production possibility set with interval data.}, year = {2012}, journal = {Applied Mathematical Sciences (Ruse)}, volume = {6}, number = {1-4}, issn = {1312-885X}, pages = {197-207}, publisher = {Hikari Ltd, Ruse}, abstract = {Summary: We call a pair of semipositive input and output vector an activity and express it by the notation $(x, y) $. Production Possibility Set (PPS) is defined as the set of feasible activities. Data envelopment analysis (DEA) models implicitly use PPS to evaluate relative efficiency of Decision Making Units (DMUs). Although DEA models is used for evaluate the score efficiency of a DMU, they can not present efficient frontiers of PPS. In this article, we propose a method for finding all Strong Defining Hyperplanes of PPS (SDHP) with interval data. They are equations that form strong efficient surfaces. These equations are useful in Sensitivity and Stability Analysis, the status of Returns to Scale of a DMU, incorporating performance information in to the efficient frontier analysis etc.}, identifier = {06080636}, }