Inverse DEA: Review, Extension and Application

This paper deals with inverse DEA from both theoretical and applied viewpoints. First, some methodological approaches and theoretical results are outlined; and then an application of DEA with real-world data (for assessing educational departments in a university) is addressed. Afterwards, possible extensions and applications of the existing approaches in the presence of fuzzy data are developed. The final theoretical part of the paper contains a main theorem which provides a sufficient condition for efficiency maintaining in the presence of fuzzy data. To do this, we have used some notions/results from multi-objective decision-making theory.

[1]  Jianzhong Zhang,et al.  An inverse DEA model for inputs/outputs estimate , 2000, Eur. J. Oper. Res..

[2]  Hong Yan,et al.  DEA models for resource reallocation and production input/output estimation , 2002, Eur. J. Oper. Res..

[3]  A. Charnes,et al.  Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis , 1984 .

[4]  Majid Soleimani-Damaneh,et al.  A note on simulating weights restrictions in DEA: an improvement of Thanassoulis and Allen's method , 2005, Comput. Oper. Res..

[5]  Ta Van Tu,et al.  Optimization over the efficient set of a parametric multiple objective linear programming problem , 2000, Eur. J. Oper. Res..

[6]  M. Soleimani-damaneh Fuzzy upper bounds and their applications , 2008 .

[7]  Jie Lu,et al.  A Fuzzy Multi-Objective bilevel Decision Support System , 2009, Int. J. Inf. Technol. Decis. Mak..

[8]  Majid Soleimani-Damaneh,et al.  Computational and theoretical pitfalls in some current performance measurement techniques; and a new approach , 2006, Appl. Math. Comput..

[9]  Majid Soleimani-Damaneh,et al.  Estimating returns to scale in data envelopment analysis: A new procedure , 2004, Appl. Math. Comput..

[10]  Georgios Dounias,et al.  The Evaluation of Information Technology Projects: a Fuzzy Multicriteria Decision-making Approach , 2006, Int. J. Inf. Technol. Decis. Mak..

[11]  J. J. Saade,et al.  Ordering fuzzy sets over the real line: an approach based on decision making under uncertainty , 1992 .

[12]  Majid Soleimani-damaneh,et al.  Maximal flow in possibilistic networks , 2009 .

[13]  Chiang Kao,et al.  Fuzzy efficiency measures in data envelopment analysis , 2000, Fuzzy Sets Syst..

[14]  Jens Leth Hougaard,et al.  Theory and Methodology Fuzzy scores of technical e ciency , 1999 .

[15]  Hirofumi Fukuyama,et al.  Modeling Output Gains and Earnings' Gains , 2005, Int. J. Inf. Technol. Decis. Mak..

[16]  Peijun Guo,et al.  Fuzzy DEA: a perceptual evaluation method , 2001, Fuzzy Sets Syst..

[17]  A. Hadi-Vencheh,et al.  A DEA model for resource allocation , 2008 .

[18]  Lawrence M. Seiford,et al.  Recent developments in dea : the mathematical programming approach to frontier analysis , 1990 .

[19]  R. Färe,et al.  Nonparametric Cost Approach to Scale Efficiency , 1985 .

[20]  Han-Lin Li,et al.  Ranking Decision Alternatives by Integrated DEA, AHP and Gower Plot Techniques , 2008, Int. J. Inf. Technol. Decis. Mak..

[21]  W. Cooper,et al.  Data Envelopment Analysis: A Comprehensive Text with Models, Applications, References and DEA-Solver Software , 1999 .

[22]  Majid Soleimani-Damaneh,et al.  On the estimation of returns-to-scale in FDH models , 2006, Eur. J. Oper. Res..

[23]  Gwo-Hshiung Tzeng,et al.  Fuzzy MCDM approach for evaluation of expatriate assignments , 2005, Int. J. Inf. Technol. Decis. Mak..

[24]  Majid Soleimani-Damaneh,et al.  Global variation of outputs with respect to the variation of inputs in performance analysis; generalized RTS , 2008, Eur. J. Oper. Res..

[25]  Ralph E. Steuer Multiple Criteria Optimization: Theory, Computation, And Application (Wiley Series In Probability And Statistics) By Ralph E. Steuer , 2008 .

[26]  Majid Soleimani-Damaneh,et al.  Scale elasticity and returns to scale in the presence of alternative solutions , 2009, J. Comput. Appl. Math..

[27]  Ali Asghar Foroughi,et al.  A generalized DEA model for inputs/outputs estimation , 2006, Math. Comput. Model..

[28]  R. S. Laundy,et al.  Multiple Criteria Optimisation: Theory, Computation and Application , 1989 .

[29]  Jyrki Wallenius,et al.  Ratio-based RTS determination in weight-restricted DEA models , 2011, Eur. J. Oper. Res..

[30]  A. Azadeh,et al.  A Fuzzy Mathematical Programming Approach to DEA Models , 2008 .

[31]  Ebrahim Nasrabadi,et al.  Measure of efficiency in DEA with fuzzy input-output levels: a methodology for assessing, ranking and imposing of weights restrictions , 2004, Appl. Math. Comput..

[32]  Majid Soleimani-Damaneh,et al.  Efficiency Analysis of Provincial departments of Physical Education in Iran , 2012, Int. J. Inf. Technol. Decis. Mak..

[33]  Abraham Charnes,et al.  Measuring the efficiency of decision making units , 1978 .

[34]  J. Sengupta A fuzzy systems approach in data envelopment analysis , 1992 .

[35]  Majid Soleimani-damaneh,et al.  A polynomial-time algorithm to estimate returns to scale in FDH models , 2007, Comput. Oper. Res..

[36]  C. Kao,et al.  A mathematical programming approach to fuzzy efficiency ranking , 2003 .

[37]  K. Soleimani-damaneh,et al.  Calculating and comparing the eciency of educational departments in Islamic Azad University of Jiroft-Iran using DEA , 2008 .

[38]  Majid Soleimani-Damaneh,et al.  Returns to scale and scale elasticity in the presence of weight restrictions and alternative solutions , 2010, Knowl. Based Syst..

[39]  Yao Chen,et al.  Using Super-Efficiency Dea To Evaluate Financial Performance Of E-Business Initiative In The Retail Industry , 2004, Int. J. Inf. Technol. Decis. Mak..

[40]  Mohsen Rostamy-Malkhalifeh,et al.  An enhanced procedure for estimating returns-to-scale in DEA , 2005, Appl. Math. Comput..

[41]  Shu-Cherng Fang,et al.  Fuzzy data envelopment analysis (DEA): a possibility approach , 2003, Fuzzy Sets Syst..

[42]  Ali Emrouznejad,et al.  Fuzzy data envelopment analysis: A discrete approach , 2012, Expert Syst. Appl..

[43]  Majid Soleimani-Damaneh,et al.  Shannon's entropy for combining the efficiency results of different DEA models: Method and application , 2009, Expert Syst. Appl..

[44]  Majid Soleimani-Damaneh A fast algorithm for determining some characteristics in DEA , 2009, J. Oper. Res. Soc..

[45]  Gwo-Hshiung Tzeng,et al.  Dea Approach For The Current And The Cross Period Efficiency For Evaluating The Vocational Education , 2004, Int. J. Inf. Technol. Decis. Mak..