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Original Articles

Proposing integrated Shannon’s entropy–inverse data envelopment analysis methods for resource allocation problem under a fuzzy environment

Pages 1733-1749 | Received 02 May 2016, Accepted 07 Nov 2016, Published online: 08 Dec 2016

References

  • Adler, N., and B. Golany. 2001. “Evaluation of Deregulated Airline Networks using Data Envelopment Analysis Combined with Principal Component Analysis with an Application to Western Europe.” European Journal of Operational Research 132 (2): 260–273. doi: 10.1016/S0377-2217(00)00150-8
  • Brown, D. T., C. M. James, and R. M. Mooradian. 1994. “Asset Sales by Financially Distressed Firms.” Journal of Corporate Finance 1 (2): 233–257. doi: 10.1016/0929-1199(94)90004-3
  • Chaghooshi, A. J. 2012. “Integration of Fuzzy Shannon’s Entropy with Fuzzy TOPSIS for Industrial Robotic System Selection.” Journal of Industrial Engineering Management 5 (1): 102–114.
  • Chanas, S., and P. Zielisnski. 1999. “Ranking Fuzzy Interval Numbers in the Setting of Random Sets—Further Results.” Information Sciences 117: 191–200. doi: 10.1016/S0020-0255(99)00027-4
  • Chen, M. C., S. J. Cheng, and Y. Hwang. 2005. “An Empirical Investigation of the Relationship between Intellectual Capital and Firms’ Market Value and Financial Performance.” Journal of Intellectual Capital 6 (2): 159–176. doi: 10.1108/14691930510592771
  • Cooper, W. W., K. S. Park, and G. Yu. 1999. “IDEA and AR-IDEA: Models for Dealing with Imprecise Data in DEA.” Management Science 45: 597–607. doi: 10.1287/mnsc.45.4.597
  • Cooper, W. W., K. S. Park, and G. Yu. 2001. “An Illustrative Application of Idea (Imprecise Data Envelopment Analysis) to a Korean Mobile Telecommunication Company.” Operations Research 49: 807–820. doi: 10.1287/opre.49.6.807.10022
  • Dario, C., and L. Simar. 2007. Advanced Robust and Nonparametric Methods in Efficiency Analysis. XXII: 248. New York: Springer.
  • Delen, D., C. Kuzey, and A. Uyar. 2013. “Measuring Firm Performance using Financial Ratios: A Decision Tree Approach.” Expert Systems with Applications 40 (10): 3970–3983. doi: 10.1016/j.eswa.2013.01.012
  • Despotis, D. K., and Y. G. Smirlis. 2002. “Data Envelopment Analysis with Imprecise Data.” European Journal of Operational Research 140: 24–36. doi: 10.1016/S0377-2217(01)00200-4
  • Dill, R., N. Costa Jr, and A. A. P. Santos. 2014. “Corporate Profitability Analysis: A Novel Application for Paraconsistent Logic.” Applied Mathematical Sciences 8 (26): 1271–1288. doi: 10.12988/ams.2014.4113
  • Ekincioğlu, O., A. S. Gurgun, Y. Engin, M. Tarhan, and S. Kumbaracibasi. 2013. “Approaches for Sustainable Cement Production—A Case Study from Turkey.” Energy and Buildings 66: 136–142. doi: 10.1016/j.enbuild.2013.07.006
  • Entani, T., Y. Maeda, and H. Tanaka. 2002. “Dual Models of Interval DEA and Its Extension to Interval Data.” European Journal of Operational Research 136 (1): 32–45. doi: 10.1016/S0377-2217(01)00055-8
  • Ertuğrul, İ., and N. Karakaşoğlu. 2009. “Performance Evaluation of Turkish Cement Firms with Fuzzy Analytic Hierarchy Process and TOPSIS Methods.” Expert Systems with Applications 36: 702–715. doi: 10.1016/j.eswa.2007.10.014
  • Feng, C. M., and R. T. Wang. 2000. “Performance Evaluation for Airlines Including the Consideration of Financial Ratios.” Journal of Air Transport Management 6: 133–142. doi: 10.1016/S0969-6997(00)00003-X
  • Fries, S., and A. Taci. 2005. “Cost Efficiency of Banks in Transition: Evidence From 289 Banks in 15 Post-communist Countries.” Journal of Banking & Finance 29 (1): 55–81. doi: 10.1016/j.jbankfin.2004.06.016
  • Gattoufi, S., and R. A. Gholam. 2014. “A New Inverse DEA Method for Merging Banks.” IMA Journal of Management Mathematics 25: 73–87. doi: 10.1093/imaman/dps027
  • Ghiyasi, M. 2015. “On Inverse DEA Model: The Case of Variable Returns to Scale.” Computers & Industrial Engineering 87: 407–409. doi: 10.1016/j.cie.2015.05.018
  • Goto, M. and T. Sueyoshi. 2009. “Financial Ratio Analysis: An Application to US Energy Industry.” In Productivity, Efficiency, and Economic Growth in the Asia-Pacific Region, edited by Jeong-Dong Lee and Almas Heshmati, 59–79. Heidelberg: Physica-Verlag HD.
  • Graham, J. R., C. R. Harvey, and M. Puri. 2013. “Managerial Attitudes and Corporate Actions.” Journal of Financial Economics 109 (1): 103–121. doi: 10.1016/j.jfineco.2013.01.010
  • Gutiérrez-Nietoa, B., C. S. Cica, and C. M. Molinero. 2007. “Microfinance Institutions and Efficiency.” Omega 35: 131–142. doi: 10.1016/j.omega.2005.04.001
  • Hadi-Vencheh, A., and A. A. Foroughi. 2006. “A Generalized DEA Model for Inputs/Outputs Estimation.” Mathematical and Computer Modelling 43: 447–457. doi: 10.1016/j.mcm.2005.08.005
  • Hadi-Vencheh, A., A. Hatami-Marbini, B. Z. Ghelej, and K. Gholami. 2014. “An Inverse Optimization Model for Imprecise Data Envelopment Analysis.” Optimization 64 (11): 1–14.
  • Halkos, G. E., and N. G. Tzeremes. 2012. “Industry Performance Evaluation with the Use of Financial Ratios: An Application of Bootstrapped DEA.” Expert Systems with Applications 39 (5): 5872–5880. doi: 10.1016/j.eswa.2011.11.080
  • Hatami-Marbini, A., A. Emrouznejad, A. Tavana. 2011. “A Taxonomy and Review of the Fuzzy Data Envelopment Analysis Literature: Two Decades in the Making.” European Journal of Operational Research 214 (3): 457–472. doi: 10.1016/j.ejor.2011.02.001
  • Ho, C. T. B. 2011. “Measuring Dot Com Efficiency using a Combined DEA and GRA Approach.” Journal of the Operational Research Society 62: 776–783. doi: 10.1057/jors.2010.191
  • Hosseinzadeh, L. F., and R. Fallahnejad. 2010. “Imprecise Shannon’s Entropy and Multi Attribute Decision Making.” Entropy 12: 53–62. doi: 10.3390/e12010053
  • Huang, S. M., C. F. Tsai, D. C. Yen, and Y. L. Cheng. 2008. “A Hybrid Financial Analysis Model for Business Failure Prediction.” Expert Systems with Applications 35 (3): 1034–1040. doi: 10.1016/j.eswa.2007.08.040
  • Ishibuchi, H., and H. Tanaka. 1990. “Multiobjective Programming in Optimization of the Interval Objective Function.” European Journal of Operational Research 48: 219–25. doi: 10.1016/0377-2217(90)90375-L
  • Jahanshahloo, G. R., L. F. Hosseinzadeh, and M. Moradi. 2004. “Sensitivity and Stability Analysis in DEA with Interval Data.” Applied Mathematics and Computation 156 (2): 463–477. doi: 10.1016/j.amc.2003.08.005
  • Jahanshahloo, G. R., L. F. Hosseinzadeh, M. Rostamy-Malkhalifeh, and S. Ghobadi. 2014. “Using Enhanced Russell Model to Solve Inverse Data Envelopment Analysis Problems.” The Scientific World Journal 2014: 1–10. doi: 10.1155/2014/571896
  • Kumar, A., J. Kaur, and P. Singh. 2011. “A New Method for Solving Fully Fuzzy Linear Programming Problems.” Applied Mathematical Modelling 35: 817–823. doi: 10.1016/j.apm.2010.07.037
  • Kundu, S. 1997. “Min-transitivity of Fuzzy Leftness Relationship and Its Application to Decision Making.” Fuzzy Sets and Systems 86: 357–67. doi: 10.1016/S0165-0114(96)00122-4
  • Lertworasirikul, S., P. Charnsethikul, and S. C. Fang. 2011. “Inverse Data Envelopment Analysis Model to Preserve Relative Efficiency Values: The Case of Variable Returns to Scale.” Computers and Industrial Engineering 61: 1017–1023. doi: 10.1016/j.cie.2011.06.014
  • Li, N. 2012. “Performance Measures in Earnings-Based Financial Covenants in Debt Contracts.” Working Article. University of Texas at Dallas.
  • Margaritis, D., and M. Psillaki. 2007. “Capital Structure and Firm Efficiency.” Journal of Business Finance & Accounting 34 (9): 1447–1469.
  • O’Connor, T. 2013. “Equity Market Liberalization and Firm Growth.” Review of Development Finance 3 (1): 1–12. doi: 10.1016/j.rdf.2013.01.002
  • Oh, D. Y., T. Noguchi, R. Kitagaki, and W. J. Park. 2014. “CO2 Emission Reduction by Reuse of Building Material Waste in the Japanese Cement Industry.” Renewable and Sustainable Energy Reviews 38: 796–810. doi: 10.1016/j.rser.2014.07.036
  • Pastor, J. T., J. L. Ruiz, and I. Sirvent. 2002. “A Statistical Test for Nested Radial DEA Models.” Operations Research 50 (4): 728–735. doi: 10.1287/opre.50.4.728.2866
  • Psillaki, M., I. E. Tsolas, and D. Margaritis. 2010. “Evaluation of Credit Risk Based on Firm Performance.” European Journal of Operational Research 201: 873–881. doi: 10.1016/j.ejor.2009.03.032
  • Ramanathan, R. 2003. An Introduction to Data Envelopment Analysis: A Tool for Performance Measurement. New Delhi: Sage Publications.
  • Rizvi, S. N., S. Malik, and S. F. B. Zaidi. 2012. “Short Term and Long Term Impact of Sales Promotion on Organizations’ Profitability: A Comparative Study between Convenience and Shopping Goods.” International Journal of Business and Management 7 (5): 247–255.
  • Ruggiero, J. 2005. “Impact Assessment of Input Omission on DEA.” International Journal of Information Technology & Decision Making 4 (3): 359–368. doi: 10.1142/S021962200500160X
  • Sengupta, J. K. 1992. “A Fuzzy Systems Approach in Data Envelopment Analysis.” Computers & Mathematics with Applications 24 (8–9): 259–266. doi: 10.1016/0898-1221(92)90203-T
  • Sengupta, A., and T. K. Pal. 2000. “On Comparing Interval Numbers.” European Journal of Operational Research 127: 28–43. doi: 10.1016/S0377-2217(99)00319-7
  • Simar, L., and P. W. Wilson. 2001. “Testing Restrictions in Nonparametric Efficiency Models.” Communications in Statistics—Simulation and Computation 30 (1): 159–184. doi: 10.1081/SAC-100001865
  • Steuer, R. E. 1986. Multiple Criteria Optimization Theory, Computation and Application. 2nd ed. Malabar, FL: Krieger.
  • Taghizadeh, K., M. Bagherpour, and I. Mahdavi. 2011. “Application of Fuzzy Multi-objective Linear Programming Model in A Multi-period Multi-product Production Planning Problem.” International Journal of Computational Intelligence Systems 4 (2): 228–243.
  • Tseng, F. M., Y. J. Chiu, and J. S. Chen. 2009. “Measuring Business Performance in the High-tech Manufacturing Industry: A Case Study of Taiwan’s Large-Sized TFT-LCD Panel Companies.” Omega 37: 686–697. doi: 10.1016/j.omega.2007.07.004
  • Wang, Y. J. 2009. “Combining Grey Relation Analysis with FMCGDM to Evaluate Financial Performance of Taiwan Container Lines.” Expert Systems with Applications 36 (2): 2424–2432. doi: 10.1016/j.eswa.2007.12.027
  • Wang, Y. M., R. Greatbanks, and J. Yang. 2005. “Interval Efficiency Assessment using Data Envelopment Analysis.” Fuzzy Sets And Systems 153 (3): 347–370. doi: 10.1016/j.fss.2004.12.011
  • Wang, Y. J., and H-S. Lee. 2008. “A Clustering Method to Identify Representative Financial Ratios.” Information Sciences 178: 1087–1097. doi: 10.1016/j.ins.2007.09.016
  • Wei, Q. L., J. Zhang, and X. Zhang. 2000. “An Inverse DEA Model for Inputs/Outputs Estimate.” European Journal of Operational Research 121: 151–163. doi: 10.1016/S0377-2217(99)00007-7
  • Yan, H., Q. We, and G. Hao. 2002. “DEA Models for Resource Reallocation and Production Input/Output Estimation.” European Journal of Operational Research 136: 19–31. doi: 10.1016/S0377-2217(01)00046-7
  • Zadeh, A. L. 1965. “Fuzzy Sets.” Information and Control 8: 338–353. doi: 10.1016/S0019-9958(65)90241-X
  • Zhang, M., and J. J. Cui. 2016. “The Extension and Integration of the Inverse DEA Method.” Journal of the Operational Research Society 67: 0. doi: 10.1057/jors.2016.2.
  • Zimmermann, H. J. 1991. Fuzzy Set Theory and Its Applications. Boston: Kluwer Academic Publishers.

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