A Mathematical Programming Approach for Measuring Technical Efficiency in a Fuzzy Environment

Journal of Productivity Analysis

Volumn 10, Issue 1, 1998, Pages 85-102

  Triantis, Konstantinos ^a   Girod, Oliver ^b  

^a Northern Virginia Graduate Center   (United States)

^b Washington Post   (United States)

Author keywords

Fuzzy data envelopment analysis; Fuzzy free disposal hull; Fuzzy parametric programming; Technical efficiency

Indexed keywords

EID: 0032395694     PISSN: 0895562X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1018350516517     Document Type: Article

References (24)

1. Almond, R.G. (1995). "Discussion: Fuzzy Logic: Better Science Or Better Engineering?" Technometrics 37:3, 267-270.
2. Athanassopoulos, A., and K. Triantis. (1998). "Assessing Aggregate Cost Efficiency and the Related Policy Implications for Greek Local Municipalities." Forthcoming.
3. Banker, R. D., A. Charnes, and W. W. Cooper. (1984). "Some Models for Estimating Technical and Scale Efficiencies in Data Envelopment Analysis." Management Science 30:9, 1078-1092.
4. Bazaraa, M. S., J. J. Jarvis, and H. D. Sherali. (1990). Linear Programming and Network Flows. New York: John Wiley & Sons.
5. Bellman, R. E., and L. A. Zadeh. (1970). "Decision Making in a Fuzzy Environment." Management Science 17:4, 141-164.
6. Bonaplata, J. (1995). "Evaluation of Productivity and Quality Performance in the Newspaper Preprint Insertion Process." Masters project and report, Virginia Tech, Department of Industrial and Systems Engineering, Blacksburg, Virginia.
7. Carlsson, C., and P. Korhonen. (1986). "A Parametric Approach To Fuzzy Linear Programming." Fuzzy Sets and Systems 20, 17-30.
8. Charnes, A., W. W. Cooper, and E. Rhodes. (1978). "Measuring the Efficiency of Decision Making Units." European Journal of Operational Research 2, 429-444.
9. Cooper, W. W., K. K. Sinha, and R. S. Sullivan. (1992). "Measuring Complexity in High-Technology Manufacturing: Indexes for Evaluation." Interfaces 4: 22, 38-48.
10. Deprins, D., L. Simar, and H. Tulkens. (1984). "Measuring Labor Efficiency on Post Offices." In Marchand, Pestieau, and Tulkens (eds.), The Performance of Public Enterprises: Concepts and Measurement. Amsterdam: North Holland, 243-267.
11. Färe, R., S. Grosskopf, and C. A. K. Lovell. (1994). Production Frontiers. Cambridge: Cambridge University Press.
12. Fried, H. O., C. A. K. Lovell, and S. S. Schmidt (eds.). (1993). The Measurement of Productive Efficiency: Techniques and Applications. New York: Oxford University Press.
13. Girod, O. A. (1996). "Measuring Technical Efficiency in a Fuzzy Environment," Doctoral (Ph.D.) dissertation, Virginia Tech, Department of Industrial and Systems Engineering, Blacksburg, Virginia.
14. Girod, O. A., and K. Triantis. (1998). "The Evaluation of Productive Efficiency Using a Fuzzy Mathematical Programming Approach: The Case of the Newspaper Preprint Insertion Process." Forthcoming. IEEE Transactions on Engineering Management.
15. Kosko, B. (1993). Fuzzy Thinking: The New Science of Fuzzy Logic. New York: Hyperion Publisher.
16. Land, C. A. K. Lovell, and Thore. (1993). "Chance-Constrained Efficiency Analysis." Managerial and Decision Economics 14, 541-553.
17. Seaver, B. L., and K. P. Triantis. (1992). "A Fuzzy Clustering Approach Used in Evaluating Technical Efficiency Measures in Manufacturing." Journal of Productivity Analysis 3, 337-364.
18. Sengupta, J. K. (1987). "Data Envelopment Analysis for Efficiency Measurement in the Stochastic Case." Computers in Operational Research 14:2, 117-129.
19. Sengupta, J. K. (1992). "A Fuzzy Systems Approach in Data Envelopment Analysis." Computers Math. Applic. 24:8/9, 259-266.
20. Tulkens H. (1993). "On FDH Efficiency Analysis: Some Methodological Issues and Applications to Retail Banking, Courts, and Urban Transit." The Journal of Productivity Analysis 4, 183-210.
21. Triantis, K. and R. McNelis. (1995). "The Measurement and Empirical Evaluation of Quality and Productivity for a Manufacturing Process: A Data Envelopment Analysis (DEA) Approach." In R. Schraft, W. Sullivan, M. Ahmad, and H. Jacobi (eds.), Flexible Automation and Intelligent Manufacturing. New York: Begell House, 1134-1145.
22. Zadeh, L. A. (1965). "Fuzzy Sets." Information and Control 8, 338-353.
23. Zimmermann, H. J. (1986). Fuzzy Set Theory and Mathematical Programming, Fuzzy Set Theory and Applications. Riedel Publishing Company.
24. Zimmermann, H. J. (1991). Fuzzy Set Theory and Its Applications, Second Edition. Boston: Kluwer Academic Publishers.