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Reseach Article

Data Envelopment Analysis with Functional Data using Preference Method

by Syyed Nima Hashemi Ghermezi, Taher Taherian, Farhad Hosseinzadeh Lotfi
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 55 - Number 14
Year of Publication: 2012
Authors: Syyed Nima Hashemi Ghermezi, Taher Taherian, Farhad Hosseinzadeh Lotfi
10.5120/8827-2908

Syyed Nima Hashemi Ghermezi, Taher Taherian, Farhad Hosseinzadeh Lotfi . Data Envelopment Analysis with Functional Data using Preference Method. International Journal of Computer Applications. 55, 14 ( October 2012), 48-53. DOI=10.5120/8827-2908

@article{ 10.5120/8827-2908,
author = { Syyed Nima Hashemi Ghermezi, Taher Taherian, Farhad Hosseinzadeh Lotfi },
title = { Data Envelopment Analysis with Functional Data using Preference Method },
journal = { International Journal of Computer Applications },
issue_date = { October 2012 },
volume = { 55 },
number = { 14 },
month = { October },
year = { 2012 },
issn = { 0975-8887 },
pages = { 48-53 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume55/number14/8827-2908/ },
doi = { 10.5120/8827-2908 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:57:17.785340+05:30
%A Syyed Nima Hashemi Ghermezi
%A Taher Taherian
%A Farhad Hosseinzadeh Lotfi
%T Data Envelopment Analysis with Functional Data using Preference Method
%J International Journal of Computer Applications
%@ 0975-8887
%V 55
%N 14
%P 48-53
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper we assess the efficiency of units using data envelopment analysis (DEA). In first stage, a functional data is converted to a fuzzy bell shape number and then a benchmark point would be chosen for each input or output and using the preference ratio method, the equivalence multiplier of each data would be calculated. In order to simplification of functional data, functional data will be replaced bythe equivalence multiplier.

References
  1. Modarres, M. , andSadi-Nezhad, S. 2001 Ranking fuzzy numbers by preference ratio. Fuzzy Sets and Systems. 118, 429-436.
  2. Modarres, M. , andSadi-Nezhad, S. 2005. Fuzzy simple additive weighting method by preference ratio. Intelligent Automation and Soft Computing. 11, 4, 235-244.
  3. Charnes, A. , Cooper, E. , and Rhodes, E. 1978. Measuring the e?ciency of decision making units. European Journal of Operational Research. 2, 4, 429–444.
  4. Banker, R. D. , Charnes, A. , and Cooper, W. W. 1984. Some models for estimating technical and scale e?ciencies in data envelopment analysis. Management Science. 30, 1078–1092.
  5. Cook,W. D. , Kerss,M. , and Seiford,L. M. 1993. On the use of ordinal data in data envelopment analysis. Journal of the Operational Research Society. 44, 133-140.
  6. Cook,W. D. , Kerss,M. , and Seiford,L. M. 1996. Data envelopment analysis in the presence of both quantitative and qualitative factors. Journal of the Operational Research Society. 47,7, 945-953.
  7. Doyle, J. , and Green, R. 1994. Efficiency and cross-efficiency in DEA: Derivations, meanings and uses. Journal of the Operational Research Society. 45, 5, 567-578.
  8. Dyson, R. , and Thannassoulis, E. 1988. Reducing weight flexibility in data envelopment analysis. Journal of Operational Research Society. 39, 6, 563-576.
  9. Kamakura, W. A. 1988. A note on the use of categorical variables in data envelopment analysis. Management Science. 34, 10, 1273-1276.
  10. Talluri, S. , and Serkis, J. 1997. Extensions in efficiency measurement of alternate machine component grouping solutions via data envelopment analysis. IEEE Transactions on Engineering Management. 44,3, 299-304.
  11. Talluri,S. , Huq, F. , and Pinney, W. E. 1997. Application of data envelopment analysis for cell performance evaluation and process improvement in cellular manufacturing. International Journal of Production Research. 35,8, 2157-2170.
  12. Talluri, S. 2000. A benchmarking method for business process reengineering and improvement. International Journal of Flexible Manufacturing Systems. Forthcoming 2000.
  13. Talluri, S. , and Yoon, K. P. 2000. A cone-ratio DEA approach for AMT justification. International Journal of Production Economics. Forthcoming 2000.
  14. Hwang, S. N. , and Kao, T. L. 2006. Measuring managerial e?ciency in non-life insurance companies: An application of the two-stage data envelopment analysis. Springer Verlag, New York, pp. 209–240.
  15. Andersen, P. , and Petersen, N. C. 1993. A procedure for ranking efficient units in data envelopment analysis. Management Science. 39, 10, 1261-1264.
  16. Cook, W. D. , Doyle, J. , Green, R. , and Kress, M. 1997. Multiple criteria modeling and ordinal data; Evaluation in terms of subsets of criteria. European Journal of operational research 98, 602-609.
  17. Cook,W. d. , Kress, M, and Seiford, L. M. 1996. Data Envelopment Analysis in the presence of both quantitive and qualitivefactors . Journal of the operational Research society. 47 , 945-953.
  18. Cooper, W. W. , Park, K. S. , and Yu. G. 1999. IDEA and AR-IDEA; models for dealing with imprecise data in DEA . Journal of Management Science. 45 , 597-607.
  19. Cooper, W. W. , and Park, K. s. 2001. IDEA (Imprecise data DEA) with CMDS (column Maximum decision making units). Journal of the operational Research society. 52, 1761-1811.
  20. Kim, S. H. , and Park, C. G. 1999. An application of DEA in telephone offices evaluation with partio Data . Journal of the operational Research society 26, 59-720.
  21. Lee, Y. K. , Park, K. S. , and Kim, S. H. 2002. Identification of inefficiencies in an additive model based IDEA. Journal of the operational Research society and Computation 29.
  22. Desposit, D. K. , and Smirlis, Y. G. 2002. Data Envelopment Analysis with imprecise Data. European Journal of the operational Research society 140, 24-36.
  23. Entani, T. , and Tanaka, H. 2002. Dual models of interval DEA and its extension to interval data. Journal of the operational Research society 136.
  24. Guo, P. , and Tanaka, H. . 2001. Fuzzy DEA:a perceptual evaluation method, Fuzzy Sets and Systems. 119 , 149–160.
  25. Kahraman, C. , and Tolga, E. 1998. Data envelopment analysis using fuzzy concept. 28th Internat. Symp. on Multiple-Valued Logic 1998, pp. 338–343.
  26. Kao, C. , and Liu, S. T. 2000. Fuzzy efficiency measures in data envelopment analysis. Fuzzy Sets and Systems. 113 (2000) 427–437
Index Terms

Computer Science
Information Sciences

Keywords

Data envelopment analysis (DEA) fuzzy bell shape Preference ratio