Preferencias entre unidades eficientes. Una aplicación de super eficiencia fuzzy basada en niveles de exigencia

• Plá Ferrando, Leonor ^[1] ; Casasús Estellés, Trinidad ^[2] ; Pérez Cantó, Juan Carlos ^[3]
  1. [1] Universidad Politécnica de Valencia

     Universidad Politécnica de Valencia

     Valencia, España

     
  2. [2] Universitat de València

     Universitat de València

     Valencia, España

     
  3. [3] IES Andreu Sempere

  Mostrar afiliaciones +
• Localización: Rect@: Revista Electrónica de Comunicaciones y Trabajos de ASEPUMA, ISSN-e 1575-605X, Vol. 15, Nº. 1, 2014, págs. 25-38
• Idioma: español
• Enlaces
  • Texto completo (pdf)
• Dialnet Métricas: 2 Citas
• Resumen
  • español

    En el contexto económico actual, lograr el máximo de eficiencia es una cuestión clave para las empresas.

    En ocasiones, los métodos clásicos de análisis de la eficiencia, como el Data Envelopment Analysis (DEA), no ofrecen al empresario información suficiente al clasificar las unidades de decisíon en dos grupos, las eficientes y las ineficientes.

    Los gestores demandan más información sobre la eficiencia de su empresa, de modo que la puedan comparar con la del resto de firmas y conocer su posición relativa dentro del grupo de empresas eficientes o ineficientes.

    En este trabajo se propone un enfoque, basado en la lógica fuzzy, que completa los modelos DEA clásicos y permite, a partir de los modelos de super-eficiencia fuzzy, llegar a una ordenación de las empresas clasificadas en primera instancia como eficientes. La aplicabilidad práctica del enfoque propuesto se ilustra con un ejemplo real en el campo de las empresas textiles

  • English

    In the current economic context, achieving maximum efficiency is a key issue for companies. Classical methods analysing efficiency, such as Data Envelopment Analysis (DEA) are often not able to provide the companies’ managers enough information about the efficiency of their companies as those methods classify the decision units into only two groups, efficient and inefficient. Managers demand more information on the efficiency of their companies in order to be able to compare themselves with other firms and to know their relative position within the group of efficient or inefficient firms.

    This paper presents a fuzzy logic based approach which complements the classical DEA models allowing, by means of the concept of fuzzy super-efficiency, the attainment of an order for the companies firstly classified as efficient. The practical applicability of the proposed approach is illustrated with a real example in the field of textile firms.

• Referencias bibliográficas
  • A. Charnes, W.W. Cooper, E. Rhodes, Measuring the Efficiency of Decision Making Units, European Journal of Operational Research 2 (1978) 429–444.
  • L. Plá Ferrando, Modelos flexibles para la valoración de la eficiencia, Tesis Doctoral, Universidad Politécnica de Valencia, 2013.
  • N.Adler, L.Friedman, Z.Sinuany-Stern, Review of ranking methods in data envelopment analysis context, European Journal of Operational Research...
  • P. Andersen, N.C. Petersen, A procedure for ranking efficient units in data envelopment analysis, Management Science 39 (10) (1993) 1261–1264.
  • J. Doyle, R.Green, Efficiency and Cross–Efficiency in DEA: derivations, meanings and uses. Journal of the Operations Research Society 45 (1994)...
  • J. Doyle, R.Green, Cross–evaluation in DEA: improving discrimination among DMUs. INFOR 33 (1995) 205–222.
  • J. K. Sengupta, A fuzzy systems approach in Data Envelopment Analysis. Computers and Mathematics with Applications 24 (1992) 259–266.
  • C. Kao, S.T. Liu, Fuzzy efficiency measures in data envelopment analysis. Fuzzy Sets and Systems 113 (2000) 427–437.
  • L. Plá, T. Casasús, J. C. Pérez, V. Liern, Análisis de eficiencia con datos inciertos. Una aplicación a la industria textil. Actas XVI Congreso...
  • L. A. Zadeh, Fuzzy Sets, Information and Control 8 (1965) 338-353.
  • H. J. Zimmermann, Fuzzy Set Theory and Its Applications, 2nd ed., Kluwer–Nijho, Boston (1991).PP
  • R. Banker, A. Charnes, W. Cooper, Some models for estimating technical and scale efficiencies in Data Envelopment Analysis, Managenent Science...
  • J. M. Cadenas, M. J. Canós, M. C. Garrido, C. Ivorra, V. Liern, Soft-computing based heuristics for location on networks: The p-median problem,...
  • T. Casasús, V. Liern, L. Plá, J.C. Pérez An efficiency fuzzy study with application to the textile sector, Actas The 5th WSEAS International...
  • C. P. Bao, C. H. Jen, C. C. Guey, C. L. Lin, The linear programming approach on A-P superefficiency Data Envelopment Analysis model of infeasibility...
  • M. Xue, P.T. Harker, Note: Ranking DMUs with infeasible super-efficiency DEA models.Manage. Sci., 48 (2002) 705-710.
  • Y.Chen, Measuring super-efficiency in DEA in the presence of infeasibility, European Journal of Operational Research, 161 (2005) 545-551.
  • R. R. Yager, A Procedure for Ordering Fuzzy Subsets of the Unit Interval, Information Sciences 24 (1981) 143-161.
  • C.B. Chen, C.M. Klein, An efficient approach to solving fuzzy MADM problems, Fuzzy Sets and Systems 88 (1997) 51–67.
  • X. Wang, E. Kerre, Reasonable properties for the ordering of fuzzy quantities (I), Fuzzy Sets and Systems 118 (2001) 375 –385.
  • J.E. Boscá, V. Liern, R. Sala, A.Martínez, Ranking decision making units by means soft computing DEA models. International Journal of Uncertainty,...
  • M. S. García-Cascales, M. T. Lamata, A modification of the index of Liou and Wang for ranking fuzzy number, Int Journal of Uncertainty, Fuzziness...
  • L. Plá, J.C. Pérez,T. Casasús El sector textil en la zona del alcoià. Un análisis fuzzy de eficiencia, rect@ 13 (2012) 57-74.
  • G. Bortolan, R. Degani, A review of some methods for ranking subsets, Fuzzy Sets and Systems 15 (1985) 1-19.
  • S. J. Chen, C. L. Hwang, Fuzzy Multiple Attribute Decision Making, Springer-Verlang, Berlin 1992.
  • M. S. García-Cascales, Métodos para la comparación de alternativas mediante un Sistema de Ayuda a la Decisión (S.A.D.) y Soft Computing, Tesis...
  • X.Wang, E. Kerre, Reasonable properties for the ordering of fuzzy quantities (II). Fuzzy Sets and Systems 118 (2001) 387–405.
  • R. D. Banker, S. M. Datar, Analysis of cost variances for management control in hospitals. Research in Governmental and Nonprofit Accounting...
  • S.C. Ray, The directional distance function and measurement of super-efficiency: An application to airlines data, European Journal of Operational...
  • S.C., Pan, S.Y. Liu, C.J. Peng ,P.C. Wu,. Local government efficiency evaluation: Consideration of undesirable outputs and super-efficiency....
  • S. Ebadi, Using a Super Efficiency Model for Ranking units in DEA. Applied Math. Sci., 41 (2012) 2043-2048.
  • R. D. Banker, H. Chang, The super-efficiency procedure for outlier identification, not for ranking efficient units, European Journal of Operational...
  • M. Wang, L. Liang, Y. Li, Fuzzy Super-Efficiency DEA Model. Chinese Journal of Management Science, 17(2) (2009) 117–124.
  • J. Yang, H. Zhao, Fuzzy Super-Efficiency DEA Model and Its Application: Based on Fuzzy Structured Element. Fuzzy Information and Engineering,...
  • B. Hsiao, C. Cher, Y. Chiu, C. Chiu, Using fuzzy super-efficiency slack- based measure data envelopment analysis to evaluate Taiwan’s commercial...