A Fully Fuzzy Method of Network Data Envelopment Analysis for Assessing Revenue Efficiency Based on Ranking Functions

Document Type : بنیادی - نظری


1 Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran

2 Department of mathematics, kerman Branch, Islamic azad university, kerman.

3 Department of mathematics, zahedan branch, Islamic azad university, zahedan.



The purpose of this paper is to evaluate the revenue efficiency in the fuzzy network data envelopment analysis‎. ‎Precision measurements in real-world data are not practically possible‎, ‎so assuming that data is crisp in solving problems is not a valid assumption‎. ‎One way to deal with imprecise data is fuzzy data‎. ‎In this paper‎, ‎linear ranking functions are used to transform the full fuzzy efficiency model into a precise linear programming problem and‎, ‎assuming triangular fuzzy numbers‎, ‎the fuzzy revenue efficiency of decision makers is measured‎. ‎In the end‎, ‎a numerical example shows the proposed method.


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