Title of article :
A Fully Fuzzy Method of Network Data Envelopment Analysis for Assessing Revenue Efficiency Based on Ranking Functions
Author/Authors :
Rostamy-Malkhalifeh, Mohsen Department of Mathematics - Science and Research Branch - Islamic Azad University , Poudineh, Elham Department of mathematics - kerman Branch - Islamic azad university , Payan, Ali Department of mathematics - zahedan Branch - Islamic azad university
Abstract :
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.
Keywords :
Network data envelopment analysis , Revenue efficiency , Full fuzzy linear programming , Ranking function