Computing the Efficiency of Decision-Making Units with Fuzzy Data Using Ideal and Anti-Ideal Decision Making Units

Data Envelopment Analysis (DEA) is a non parametrical method for evaluating the efficiency of Decision Making Units (DMU) using mathematical programming. There are several methods for analyzing the efficiency of Decision Making Units, among which are Charnes Cooper Rodes (CCR) and Banker Charnes Cooper (BCC), which compute the efficiency of Decision Making Units using the linear programming or Wang’s method which evaluates the efficiency of Decision Making Units using Ideal Decision Making Unit (IDMU) and Anti-Ideal Decision Making Unit (ADMU) and ultimately performs the ranking of units. All these calculations occur when all data, that is the inputs and the outputs of Decision Making Units, are positive and crisp data.Now this question arises: if the data are Symmetric Triangular Fuzzy Number, how will be the method of computing the efficiency of Decision Making Units? In this article, we will introduce a method for evaluating the efficiency of Decision Making Units and also rank them using Ideal and Anti-ideal Decision-Making Units with Fuzzy Data. Finally, a numerical example is proposed to display the application of this method.

Data Envelopment Analysis (DEA), Ideal Decision Making Unit (IDMU), Anti Ideal Decision Making Unit (ADMU), relative closeness (RC), Ranking