Skip to main content
Erschienen in: Fuzzy Optimization and Decision Making 1/2022

05.04.2021

Uncertain random data envelopment analysis for technical efficiency

verfasst von: Bao Jiang, Wenxue Feng, Jian Li

Erschienen in: Fuzzy Optimization and Decision Making | Ausgabe 1/2022

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Data envelopment analysis (DEA) is a classical and prevailing tool for estimating relative efficiencies of multiple decision making units (DMUs). However, sometimes DMUs’ inputs and outputs cannot be observed accurately in practical cases, and hence this paper attempts to propose an uncertain random DEA model to evaluate the efficiencies of DMUs with uncertain random inputs and outputs. The sensitivity and stability of this new model are further analyzed with the aim to figure out the stability radius of each DMU. Finally, a numerical example is presented for illustrating the proposed uncertain random DEA model.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Anhänge
Nur mit Berechtigung zugänglich
Literatur
Zurück zum Zitat Andersen, P., & Petersen, N. C. (1993). A procedure for ranking efficient units in DEA. Management Science, 39(10), 1261–1264.CrossRef Andersen, P., & Petersen, N. C. (1993). A procedure for ranking efficient units in DEA. Management Science, 39(10), 1261–1264.CrossRef
Zurück zum Zitat Anderson, T. R., Hollingsworth, K., & Inman, L. (2002). The fixed weighting nature of a cross-evaluation model. Journal of Productivity Analysis, 17(3), 249–255.CrossRef Anderson, T. R., Hollingsworth, K., & Inman, L. (2002). The fixed weighting nature of a cross-evaluation model. Journal of Productivity Analysis, 17(3), 249–255.CrossRef
Zurück zum Zitat Banker, R. D. (1993). Maximum likelihood, consistency and DEA: Statistical foundations. Management Science, 39(10), 1265–1273.CrossRef Banker, R. D. (1993). Maximum likelihood, consistency and DEA: Statistical foundations. Management Science, 39(10), 1265–1273.CrossRef
Zurück zum Zitat Banker, R. D., Charnes, A., & Cooper, W. W. (1984). Some models for estimating technical and scale efficiencies in data envelopment analysis. Management Science, 30(9), 1078–1092.CrossRef Banker, R. D., Charnes, A., & Cooper, W. W. (1984). Some models for estimating technical and scale efficiencies in data envelopment analysis. Management Science, 30(9), 1078–1092.CrossRef
Zurück zum Zitat Charnes, A., Cooper, W. W., Golany, B., Seiford, L., & Stutz, J. (1985). Foundations of data envelopment analysis for Pareto-Koopmans efficient empirical production functions. Journal of Econometrics, 30(1–2), 91–107.MathSciNetCrossRef Charnes, A., Cooper, W. W., Golany, B., Seiford, L., & Stutz, J. (1985). Foundations of data envelopment analysis for Pareto-Koopmans efficient empirical production functions. Journal of Econometrics, 30(1–2), 91–107.MathSciNetCrossRef
Zurück zum Zitat Charnes, A., Cooper, W. W., & Rhodes, E. (1978). Measuring the efficiency of decision making units. European Journal of Operational Research, 2(6), 429–444.MathSciNetCrossRef Charnes, A., Cooper, W. W., & Rhodes, E. (1978). Measuring the efficiency of decision making units. European Journal of Operational Research, 2(6), 429–444.MathSciNetCrossRef
Zurück zum Zitat Cooper, W. W., Park, K. S., & Pastor, J. T. (1999). RAM: A range adjusted measure of inefficiency for use with additive models, and relations to other models and measures in DEA. Journal of Productivity Analysis, 11(1), 5–24.CrossRef Cooper, W. W., Park, K. S., & Pastor, J. T. (1999). RAM: A range adjusted measure of inefficiency for use with additive models, and relations to other models and measures in DEA. Journal of Productivity Analysis, 11(1), 5–24.CrossRef
Zurück zum Zitat Doyle, J., & Green, R. (1994). Efficiency and cross efficiency in DEA: Derivations, meanings and the uses. Journal of the Operational Research Society, 45(5), 567–578.CrossRef Doyle, J., & Green, R. (1994). Efficiency and cross efficiency in DEA: Derivations, meanings and the uses. Journal of the Operational Research Society, 45(5), 567–578.CrossRef
Zurück zum Zitat Fare, R., & Grosskopf, S. (2014). Network DEA. Socio-Economic Planning Sciences, 34(1), 35–49.CrossRef Fare, R., & Grosskopf, S. (2014). Network DEA. Socio-Economic Planning Sciences, 34(1), 35–49.CrossRef
Zurück zum Zitat Jiang, B., Lio, W., & Li, X. (2019). An uncertain DEA model for scale efficiency evaluation. IEEE Transactions on Fuzzy Systems, 27(8), 1616–1624.CrossRef Jiang, B., Lio, W., & Li, X. (2019). An uncertain DEA model for scale efficiency evaluation. IEEE Transactions on Fuzzy Systems, 27(8), 1616–1624.CrossRef
Zurück zum Zitat Jiang, B., Zou, Z., Lio, W., & Li, J. (2020). The uncertain DEA models for specific scale efficiency identification. Journal of Intelligent and Fuzzy Systems, 38(3), 3403–3417.CrossRef Jiang, B., Zou, Z., Lio, W., & Li, J. (2020). The uncertain DEA models for specific scale efficiency identification. Journal of Intelligent and Fuzzy Systems, 38(3), 3403–3417.CrossRef
Zurück zum Zitat Lio, W., & Liu, B. (2018). Uncertain data envelopment analysis with imprecisely observed inputs and outputs. Fuzzy Optimization and Decision Making, 17(3), 357–373.MathSciNetCrossRef Lio, W., & Liu, B. (2018). Uncertain data envelopment analysis with imprecisely observed inputs and outputs. Fuzzy Optimization and Decision Making, 17(3), 357–373.MathSciNetCrossRef
Zurück zum Zitat Liu, B. (2007). Uncertainty theory (2nd ed.). Berlin: Springer.MATH Liu, B. (2007). Uncertainty theory (2nd ed.). Berlin: Springer.MATH
Zurück zum Zitat Liu, B. (2009). Some research problems in uncertainty theory. Journal of Uncertain Systems, 3(1), 3–10. Liu, B. (2009). Some research problems in uncertainty theory. Journal of Uncertain Systems, 3(1), 3–10.
Zurück zum Zitat Liu, B. (2010). Uncertainty theory: A branch of mathematics for modeling human uncertainty. Berlin: Springer.CrossRef Liu, B. (2010). Uncertainty theory: A branch of mathematics for modeling human uncertainty. Berlin: Springer.CrossRef
Zurück zum Zitat Liu, Y. H. (2013a). Uncertain random programming with applications. Fuzzy Optimization and Decision Making, 12(2), 153–169.MathSciNetCrossRef Liu, Y. H. (2013a). Uncertain random programming with applications. Fuzzy Optimization and Decision Making, 12(2), 153–169.MathSciNetCrossRef
Zurück zum Zitat Liu, Y. H. (2013b). Uncertain random variables: A mixture of uncertainty and randomness. Soft Computing, 17(4), 625–634.CrossRef Liu, Y. H. (2013b). Uncertain random variables: A mixture of uncertainty and randomness. Soft Computing, 17(4), 625–634.CrossRef
Zurück zum Zitat Liu, Y. H., & Ha, M. H. (2010). Expected value of function of uncertain variables. Journal of Uncertain Systems, 4(3), 181–186. Liu, Y. H., & Ha, M. H. (2010). Expected value of function of uncertain variables. Journal of Uncertain Systems, 4(3), 181–186.
Zurück zum Zitat Meng, W., Zhang, D., Qi, L., & Liu, W. (2008). Two-level DEA approaches in research evaluation. Omega, 36(6), 950–957.CrossRef Meng, W., Zhang, D., Qi, L., & Liu, W. (2008). Two-level DEA approaches in research evaluation. Omega, 36(6), 950–957.CrossRef
Zurück zum Zitat Olesen, O. B., & Petersen, N. C. (1995). Chance constrained efficiency evaluation. Management Science, 41(3), 442–457.CrossRef Olesen, O. B., & Petersen, N. C. (1995). Chance constrained efficiency evaluation. Management Science, 41(3), 442–457.CrossRef
Zurück zum Zitat Sengupta, J. K. (1982). Efficiency measurement in stochastic input–output systems. International Journal of Systems Science, 13(3), 273–287.MathSciNetCrossRef Sengupta, J. K. (1982). Efficiency measurement in stochastic input–output systems. International Journal of Systems Science, 13(3), 273–287.MathSciNetCrossRef
Zurück zum Zitat Sexton, T. R., Silkman, R. H., & Hogan, A. J. (1986). Data envelopment analysis: Critique and extensions. Measuring Efficiency: An Assessment of Data Envelopment Analysis, 32, 73–105. Sexton, T. R., Silkman, R. H., & Hogan, A. J. (1986). Data envelopment analysis: Critique and extensions. Measuring Efficiency: An Assessment of Data Envelopment Analysis, 32, 73–105.
Zurück zum Zitat Seiford, L. M., & Zhu, J. (2014). Profitability and marketability of the top 55 US commercial banks. Management Science, 45(9), 1270–1288.CrossRef Seiford, L. M., & Zhu, J. (2014). Profitability and marketability of the top 55 US commercial banks. Management Science, 45(9), 1270–1288.CrossRef
Zurück zum Zitat Tone, K. (2002). A slacks-based measure of efficiency in data envelopment analysis. European Journal of Operational Research, 143(1), 32–41.MathSciNetCrossRef Tone, K. (2002). A slacks-based measure of efficiency in data envelopment analysis. European Journal of Operational Research, 143(1), 32–41.MathSciNetCrossRef
Zurück zum Zitat Wen, M. L. (2015). Uncertain Data Envelopment Analysis. Berlin: Springer.CrossRef Wen, M. L. (2015). Uncertain Data Envelopment Analysis. Berlin: Springer.CrossRef
Metadaten
Titel
Uncertain random data envelopment analysis for technical efficiency
verfasst von
Bao Jiang
Wenxue Feng
Jian Li
Publikationsdatum
05.04.2021
Verlag
Springer US
Erschienen in
Fuzzy Optimization and Decision Making / Ausgabe 1/2022
Print ISSN: 1568-4539
Elektronische ISSN: 1573-2908
DOI
https://doi.org/10.1007/s10700-021-09361-0

Weitere Artikel der Ausgabe 1/2022

Fuzzy Optimization and Decision Making 1/2022 Zur Ausgabe

Premium Partner