Measuring the Efficiency through Fuzzy Model in Data Envelopment Analysis
Subject Areas : Business ManagementMaryam Balaseyyed Gassir 1 , Esmail Alizadeh 2
1 - Faculty Member, Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, Iran
2 - Faculty Member, Department of Mathematics, Marand Unit, Islamic Azad University, Marand, Iran
Keywords: Efficiency, Data envelopment analysis, Parametric programming, Membership functions,
Abstract :
Data envelopment analysis (DEA) is used for measuring the relative efficiency of a group of decision-making units with various inputs in order to create various outputs. In order to discuss the inaccurate data, the fuzzy concept is introduced. In this research, we introduce a model for measuring the rate of efficiency with fuzzy main functions, using trapezoid fuzzy numbers. The main goal is to convert the fuzzy DEA model into absolute and accurate DEA models by applying. A set of parametric problems is formulated to describe a set of absolute DEA models.
R.D.Banker, A.Charnes, w.w.Cooper," Some models for estimating technical and scale fficiencies in data envelopment analysis", management Sci.30 (1984)1078-1092.
R. E. Bellman, L.A. Zade"Decision-making in a fuzzy environment, Management" Sci .17 (1970) B141-164.
J.J. Buckley," Possibilistic linear programming with triangular fuzzy" Fuzzy Sets and Systems 26(1989)329-341.
A.Charnes, W.WCooper, E. Rhodes," Measuring the efficiency of decision making units", Eur.j.Oper.Res.2 (1978)429-444.
L.M. Seiford, "Data envelopment analysis, the evolution of the state of the ar "t (1978-1995), j.Productivity Anal .7(1996)99-137.
L. M.Sengupta," A fuzzy system approach in data envelopment analysis", Comput.Math. Appl.24 (1992)259-266.
L.M.Sengupta,"Non-parametric approach to stochastic programming", Internet .J.Systems Sci.24 (1993)857-871.
C.B Chen, C.M Klein, A simple approach to ranking a group pf aggregated Fyzzy utilities, IEEE Trans. Systems Man Cybernet. Part B: Cybernet. 27(1997)26-35
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R.D.Banker, A.Charnes, w.w.Cooper," Some models for estimating technical and scale fficiencies in data envelopment analysis", management Sci.30 (1984)1078-1092.
R. E. Bellman, L.A. Zade"Decision-making in a fuzzy environment, Management" Sci .17 (1970) B141-164.
J.J. Buckley," Possibilistic linear programming with triangular fuzzy" Fuzzy Sets and Systems 26(1989)329-341.
A.Charnes, W.WCooper, E. Rhodes," Measuring the efficiency of decision making units", Eur.j.Oper.Res.2 (1978)429-444.
L.M. Seiford, "Data envelopment analysis, the evolution of the state of the ar "t (1978-1995), j.Productivity Anal .7(1996)99-137.
L. M.Sengupta," A fuzzy system approach in data envelopment analysis", Comput.Math. Appl.24 (1992)259-266.
L.M.Sengupta,"Non-parametric approach to stochastic programming", Internet .J.Systems Sci.24 (1993)857-871.
C.B Chen, C.M Klein, A simple approach to ranking a group pf aggregated Fyzzy utilities, IEEE Trans. Systems Man Cybernet. Part B: Cybernet. 27(1997)26-35
