Positive and normative use of Fuzzy DEA-BCC models: A critical view on NATO enlargement

作者: Adel Hatami-Marbini , Madjid Tavana , Saber Saati , Per J. Agrell

DOI: 10.1111/J.1475-3995.2012.00871.X

关键词:

摘要: Data envelopment analysis (DEA) is a widely used mathematical programming approach for comparing the input and output of set comparable decision-making units (DMUs) by evaluating their relative efficiency. The traditional DEA methods require accurate measurement both inputs outputs. However, real evaluation DMUs often characterized imprecision uncertainty in data definitions measurements. development fuzzy (FDEA) with imprecise ambiguous has extended scope application efficiency measurement. purpose this paper to develop framework BCC model measuring crisp interval efficiencies environments. We use an α-level convert Banker, Charnes, Cooper (BCC) (variable returns scale) into model. Instead equality (or inequality) two intervals, we define variable satisfy our constraints maximize value. present numerical example show similarities differences between solution solutions obtained from four literature. In addition, case study NATO enlargement presented illustrate applicability proposed method.

参考文章(38)
Mohamed Dia, A model of fuzzy data envelopment analysis Infor. ,vol. 42, pp. 267- 279 ,(2004) , 10.20381/RUOR-1730
S. Saati M., A. Memariani, G. R. Jahanshahloo, Efficiency Analysis and Ranking of DMUs with Fuzzy Data Fuzzy Optimization and Decision Making. ,vol. 1, pp. 255- 267 ,(2002) , 10.1023/A:1019648512614
M. Soleimani-damaneh, G.R. Jahanshahloo, S. Abbasbandy, Computational and theoretical pitfalls in some current performance measurement techniques; and a new approach Applied Mathematics and Computation. ,vol. 181, pp. 1199- 1207 ,(2006) , 10.1016/J.AMC.2006.01.085
Rajiv D. Banker, R.M. Thrall, Estimation of returns to scale using data envelopment analysis European Journal of Operational Research. ,vol. 62, pp. 74- 84 ,(1992) , 10.1016/0377-2217(92)90178-C
Jati K. Sengupta, A fuzzy systems approach in data envelopment analysis Computers & Mathematics With Applications. ,vol. 24, pp. 259- 266 ,(1992) , 10.1016/0898-1221(92)90203-T
Arnold Kaufmann, Madan M. Gupta, Introduction to fuzzy arithmetic : theory and applications Published in <b>1991</b> in New York NY) by Van Nostrand Reinhold. ,(1991)
Chiang Kao, Shiang-Tai Liu, Fuzzy efficiency measures in data envelopment analysis Fuzzy Sets and Systems. ,vol. 113, pp. 427- 437 ,(2000) , 10.1016/S0165-0114(98)00137-7