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Section B

Sensitivity analysis of the additive model in data envelopment analysis while inputs and outputs are fuzzy data

, &
Pages 625-638 | Received 01 Dec 2009, Accepted 02 Dec 2011, Published online: 31 Jan 2012

References

  • Banker , R. D. , Charnes , A. and Cooper , W. W. 1984 . Some model for estimating technical and scale inefficiencies in data envelopment analysis . Manag. Sci , 30 : 1078 – 1092 .
  • Charnes , A. and Cooper , W. W. 1968 . Structural sensitivity analysis in linear programming and an exact product from left inverse . Nav. Res. Logist. Q , 15 : 517 – 522 .
  • Charnes , A. and Neralic , L. 1990 . Sensitivity analysis of the additive model in data envelopment analysis . Eur. J. Oper. Res , 48 : 332 – 341 .
  • Charnes , A. , Cooper , W. W. and Rhodes , E. 1978 . Measuring the efficiency of decision making unit . Eur. J. Oper. Res , 2 : 429 – 444 .
  • Charnes , A. , Cooper , W. W. , Golany , B. , Seiford , L. and Stutz , J. 1985 . Foundations of data envelopment analysis for Pareto–Koopmans efficient empirical production functions . J. Econom , 30 : 91 – 107 .
  • Chen , C. B. and Klein , C. M. 1997 . A simple approach to ranking a group of aggregated fuzzy utilities . IEEE Trans. Syst. Man Cybernet , 27 ( 1 ) : 26 – 35 .
  • Guh , Y. Y. 2001 . Data envelopment analysis in fuzzy environment . Inf. Manag. Sci , 12 ( 2 ) : 51 – 65 .
  • Hosseinzadeh Lotfi , F. , Allahviranloo , T. , Alimardani Jondabeh , M. and Alizadeh , L. 2009 . Solving a full fuzzy linear programming using lexicography method and fuzzy approximate solution . Appl. Math. Model , 33 : 3151 – 3156 .
  • Hosseinzadeh Lotfi , F. , Alimardani Jondabeh , M. and Faizrahnemoon , M. 2010 . Sensitivity analysis in fuzzy environment . Appl. Math. Sci , 4 ( 33 ) : 1635 – 1646 .
  • Jahanshahloo , G. R. , Soleimani-Damaneh , M. and Nasrabadi , E. 2004 . Measure of efficiency in DEA with fuzzy input–output levels: A methodology for assessing, ranking and imposing of weights restrictions . Appl. Math. Comput , 156 : 175 – 187 .
  • Kandal , A. 1986 . “ Fuzzy Mathematical Techniques with Application ” . Boston , MA : Addison-Wesley .
  • Kickert , W. J.M. 1987 . “ Fuzzy Theories on Decision Making ” . Boston , MA : Martines Nijhoff .
  • Leon , T. , Liern , V. , Ruiz , J. L. and Silvent , I. 2003 . A fuzzy mathematical programming approach to the assessment of efficiency with DEA models . Fuzzy Sets Systems , 139 : 407 – 419 .
  • Li , X. Q. , Zhang , B. and Li , H. 2006 . Computing efficient solutions to fuzzy multiple objective linear programming problems . Fuzzy Sets Systems , 157 ( 10 ) : 1328 – 1332 .
  • Triantis , K. 2003 . Fuzzy non-radial data envelopment analysis (DEA) measures of technical efficiency in support of an integrated performance measurement system . Int. J. Automot. Technol. Manag , 3 : 328 – 353 .
  • Wen , M. and Li , H. 2009 . Fuzzy data envelopment analysis (DEA): Model and ranking method . J. Comput. Appl. Math , 223 ( 2 ) : 872 – 878 .
  • Zadeh , L. A. 1965 . Fuzzy sets . Inf. Control , 8 ( 3 ) : 338 – 353 .
  • Zhu , J. 1996 . Robustness of the efficient DMUs in data envelopment analysis . Eur. J. Oper. Res , 90 : 451 – 460 .
  • Zimmerman , H. J. 1983 . Fuzzy mathematical programming . Comput. Oper. Res , 10 ( 4 ) : 291 – 298 .

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