A generalized fuzzy DEA/AR performance assessment model

Mathematical and Computer Modelling

Volumn 55, Issue 11-12, 2012, Pages 2117-2128

  Zhou, Zhongbao ^a   Zhao, Liting ^a   Lui, Siya ^a   Ma, Chaoqun ^a  

^a HUNAN UNIVERSITY   (China)

Author keywords

cuts; Assurance regions; Fuzzy sets; Generalized fuzzy DEA; Performance assessment

Indexed keywords

ASSURANCE REGION; CRISP DATA; DATA ENVELOPMENT ANALYSIS (DEA); DEA MODELS; DECISION MAKING UNIT; GENERALIZED FUZZY DEA; LINEAR PROGRAMMING MODELS; LOWER AND UPPER BOUNDS; MANUFACTURING ENTERPRISE; NONPARAMETRIC APPROACHES; PERFORMANCE ASSESSMENT; PERFORMANCE ASSESSMENT MODELS; PRODUCTION MECHANISMS;

COMPUTER PROGRAMMING; FUZZY SETS;

DATA ENVELOPMENT ANALYSIS;

EID: 84862786847     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2012.01.017     Document Type: Article

References (28)

1. Charnes A., Cooper W.W., Rhodes E. Measuring the efficiency of decision making units. European Journal of Operational Research 1978, 2:429-444.
2. Thanassoulis E., Boussofiane A., Dyson R.G. A comparison of data envelopment analysis and ratio analysis as tools for performance assessment. Omega 1996, 24(3):229-244.
3. Coelli T.J., Rao D.S.P., O'Donnell C.J., Battese G.E. An Introduction to Efficiency and Productivity Analysis 2005, Springer Science + Business Media, New York. second ed.
4. Cook W.D., Zhu J. Modeling Data Irregularities and Structural Complexities in Data Envelopment Analysis 2007, Springer Science + Business Media, New York.
5. Cooper W.W., Seiford L.M., Tone K. Data Envelopment Analysis: A Comprehensive Text with Models, Applications, References and DEA-Solver Software 2007, Springer Science + Business Media, New York. second ed.
6. Ray S.C. Data Envelopment Analysis Theory and Techniques for Economics and Operations Research 2004, Cambridge University Press, New York.
7. Zhu J. Quantitative Models for Performance Evaluation and Benchmarking: Data Envelopment Analysis with Spreadsheets and DEA Excel Solver 2009, Springer Science + Business Media, New York. second ed.
8. Dyson R.G., Allen R., Camanho A.S., Podinovski V.V., Sarrico C.S., Shale E.A. Pitfalls and protocols in DEA. European Journal of Operational Research 2001, 132(2):245-259.
9. Charnes A., Cooper W.W., Rhodes E. Measuring the efficiency of decision making units. European Journal of Operational Research 1978, 2(6):429-444.
10. Banker R.D. Estimating most productive scale size using data envelopment analysis. European Journal of Operational Research 1984, 17(1):35-44.
11. Färe R., Grosskopf S. A nonparametric cost approach to scale efficiency. Journal of Economics 1985, 87:594-604.
12. Seiford L.M., Thrall R.M. The mathematical programming approach to frontier analysis. Journal of Econometrics 1990, 46:7-38.
13. Yu G., Wei Q., Brockett P. A generalized data envelopment analysis model: a unification and extension of existing methods for efficiency analysis of decision making units. Annals of Operations Research 1996, 66:47-89.
14. Guo P., Tanaka H. Fuzzy DEA: a perceptual evaluation method. Fuzzy Sets and Systems 2001, 119(1):149-160.
15. Lertworasirikul S., Fang S.-C., Joines J.A., Nuttle H.L.W. Fuzzy data envelopment analysis (DEA): a possibility approach. Fuzzy Sets and Systems 2003, 139(2):379-394.
16. Sengupta J.K. Measuring efficiency by a fuzzy statistical approach. Fuzzy Sets and Systems 1992, 46(1):73-80.
17. Meada Y., Entani T., Tanaka H. Fuzzy DEA with interval efficiency. 6th European Congress on Intelligent Techniques and Soft Computing 1998, Verlag Mainz 2, Aachen, Germany.
18. Saati Mohtadi S., Memariani A., Jahanshahloo G.R. Efficiency analysis and ranking of DMUs with fuzzy data. Fuzzy Optimization and Decision Making 2002, 1(3):255-267.
19. Thompson R.G., Lee E., Thrall R.M. DEA/AR-efficiency of US independent oil/gas producers over time. Computers & Operations Research 1992, 19(5):377-391.
20. Thompson R.G., Dharmapala P.S., Rothenberg L.J., Thrall R.M. DEA/AR efficiency and profitability of 14 major oil companies in US exploration and production. Computers & Operations Research 1996, 23(4):357-373.
21. Thompson R.G., Dharmapala P.S., Thrall R.M. Linked-cone DEA profit ratios and technical efficiency with application to Illinois coal mines. International Journal of Production Economics 1995, 39(1-2):99-115.
22. Thompson R.G., Brinkmann E.J., Dharmapala P.S., Gonzalez-Lima M.D., Thrall R.M. DEA/AR profit ratios and sensitivity of 100 large US banks. European Journal of Operational Research 1997, 98(2):213-229.
23. Liu S.-T. A fuzzy DEA/AR approach to the selection of flexible manufacturing systems. Computers & Industrial Engineering 2008, 54(1):66-76.
24. Liu S.-T., Chuang M. Fuzzy efficiency measures in fuzzy DEA/AR with application to university libraries. Expert Systems with Applications 2009, 36(Part 1-2):1105-1113.
25. Jahanshahloo G.R., Sanei M., Rostamy-Malkhalifeh M., Saleh H. A comment on "A comment on 'A fuzzy DEA/AR approach to the selection of flexible manufacturing systems"' and "A fuzzy DEA/AR approach to the selection of flexible manufacturing systems". Computers & Industrial Engineering 2009, 56(4):1713-1714.
26. Zhou Z., Yang W., Ma C., Liu W. A comment on "A fuzzy DEA/AR approach to the selection of flexible manufacturing systems". Computers & Industrial Engineering 2010, 59(4):1019-1021.
27. Zhou Z., Lui S., Ma C., Liu D., Liu W. Fuzzy data envelopment analysis models with assurance regions: a note. Expert Systems with Applications 2012, 39(2):2227-2231.
28. Chen S.-M., Wang C.-H. Fuzzy risk analysis based on ranking fuzzy numbers using a-cuts, belief features and signal/noise ratios. Expert Systems with Applications 2009, 36:5576-5581.