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Advances in Fuzzy Sets and Systems

Advances in Fuzzy Sets and Systems
Volume 6, Issue 1, Pages 1 - 12 (June 2010)

INTERVAL EFFICIENCY SCORES USING A NEW METHOD IN FUZZY DATA ENVELOPMENT ANALYSIS Ehsanollah Mansourirad, Mohd Rizam Abu Bakar, Azmi Jafar and Lai Soon Lee Received January 12, 2010 References:
[1] R. D. Banker, A. Charnes and W. W. Cooper, Some models for estimating technical and scale inefficiencies in data envelopment analysis, Management Science 30(9) (1984), 1078-1092. [2] A. Charnes, W. W. Cooper and E. Rhodes, Measuring the efficiency of decision making units, European J. Oper. Res. 2(6) (1978), 429-444. [3] C. Carlsson and R. Fuller, On possibilistic mean value and variance of fuzzy numbers, Fuzzy Sets and Systems 122 (2001), 315-326. [4] M. Dia, A model of fuzzy data envelopment analysis, INFOR 42(4) (2004), 267-279. [5] T. Entani, Y. Maeda and H. Tanaka, Dual models of interval DEA and its extension to interval data, European J. Oper. Res. 136 (2002), 32-45. [6] P. A. A. Garcia, R. Schirru and P. F. F. E. Melo, A fuzzy data envelopment analysis approach for FMEA, Progress in Nuclear Energy 46(3/4) (2005), 359-373. [7] R. E. Giachetti and R. E. Young, Analysis of the error in the standard approximation used for multiplication of triangular and trapezoidal fuzzy numbers and the development of a new approximation, Fuzzy Sets and Systems 91 (1997), 1-13. [8] Ronald E. Giachetti and Robert E. Young, A parametric representation of fuzzy numbers and their arithmetic operators, Fuzzy Sets and Systems 91 (1997), 185-202. [9] P. Guo and H. Tanaka, Fuzzy DEA: A perceptual evaluation method, Fuzzy Sets and Systems 119(1) (2001), 149-160. [10] G. R. Jahanshahloo, M. Soleimani-damaneh and E. Nasrabadi, Measure of efficiency in DEA with fuzzy input-output levels, a methodology for assessing, ranking and imposing of weights restrictions, Appl. Math. Comput. 156(1) (2004), 175-187. [11] C. Kao and S. T. Liu, Fuzzy efficiency measures in data envelopment analysis, Fuzzy Sets and Systems 113 (2000a), 427-437. [12] C. Kao and S. T. Liu, Data envelopment analysis with missing data: an application to university libraries in Taiwan, J. Oper. Res. Soc. 51 (2000b), 897-905. [13] C. Kao and S. T. Liu, A mathematical programming approach to fuzzy efficiency ranking, Inter. J. Production Eco. 86 (2003), 45-54. [14] C. Kao and S. T. Liu, Data envelopment analysis with imprecise data: an application of Taiwan machinery firms, Inter. J. Uncertainty, Fuzziness and Knowledge-based Systems 13(2) (2005), 225-240. [15] S Lertworasirikul, S. C. Fang, J. A. Joines and H. L. W. Nuttle, Fuzzy data envelopment analysis (DEA): a possibility approach, Fuzzy Sets and Systems 139 (2003a), 379-394. [16] S. Lertworasirikul, S. C. Fang, J. A. Joines and H. L. W. Nuttle, Fuzzy data envelopment analysis: a credibility approach, Fuzzy Sets Based Heuristics for Optimization, J. L. Verdegay, ed., Springer-Verlag, Berlin, Heidelberg, 2003b. [17] S. Lertworasirikul, S. C. Fang, H. L. W. Nuttle and J. A. Joines, Fuzzy BCC model for data envelopment analysis, Fuzzy Optim. Decis. Mak. 2(4) (2003), 337-358. [18] S. T. Liu, A fuzzy DEA/AR approach to the selection of flexible manufacturing systems, Computers and Industrial Engineering 54(1) (2008), 66-76. [19] Andrzej Piegat, Fuzzy Modeling and Control: With 96 Tables, Springer-Verlag, Heidelberg, New York, 2001. [20] S. Saati and A. Memariani, Reducing weight flexibility in fuzzy DEA, Appl. Math. Comput. 161(2) (2005), 611-622. [21] S. M. Saati, A. Memariani and G. R. Jahanshahloo, Efficiency analysis and ranking of DMUs with fuzzy data, Fuzzy Optim. Decis. Mak. 1(3) (2002), 255-267. [22] J. K. Sengupta, A fuzzy systems approach in data envelopment analysis, Comput. Math. Appl. 24 (1992), 259-266.

Keywords and phrases: data envelopment analysis, fuzzy data, linear programming.

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