Inverse network DEA incorporating cost efficiency with fuzzy data: an application to Petrochemical equipment industries
الموضوعات : International Journal of Data Envelopment AnalysisMahsa Hamidi 1 , Najmeh Malek Mohammadi 2 , شبنم رضویان 3 , Rahele Nouraei 4
1 -
2 - Department of Mathematics, South Tehran Branch, Islamic azad university, Tehran, Iran
3 - Islamic Azad University, South Tehran Branch, Tehran, Iran
4 - Department of Mathematics, Islamic Azad University, South Tehran Branch, Tehran, Iran
الکلمات المفتاحية: Two- stage efficiency DEA, Inverse DEA, Cost efficiency, Fuzzy data,
ملخص المقالة :
Petrochemical industry effects on economy of the oil-rich country, such as Iran and all around the world. Nowadays decision-making management is an important subject. The successful manager must be ready to set the future goals by evaluating the past performances then consider the resources and the limitations of the present. Data Envelopment Analysis (DEA) is a powerful technique evaluating relative efficiency for homogenies Decision Making Units (DMU). Since the production process usually consists of related sub-processes with uncertain data, efforts are made to generalize the conventional network models with imprecise data especially fuzzy data where the results are more realistic. This article proposed a model with fuzzy arithmetic approach estimating the inputs while the technical and cost efficiency of all DMUs remain constant with perturbed outputs by manager’s preferences.
[1] Banker, R.D., Charnes, A., Cooper, W.W., (1984), some methods for estimating technical and scale inefficiencies in data envelopment analysis, Management Science, 30, 1078-1092.
[2] Charnes, A., Cooper, W .W., Rhodes, E., (1978), Measuring the efficiency of decision making units, European Journal of Operational Research, 2, 429-444.
[3] Chen, Y., Cook, W.D., Li. N, Zhu. J., (2007), “Additive efficiency decomposition in two-stage DEA”, European Journal of Operational Research, 196 , 1170-1176.
[4] F𝑎̈re, R., Grosskopf, S.(2000), “Network DEA", Socio-Econ. Plan. Sci, 34, 35-49.
[5] Farrell M. J., (1957), "The Measurement of Productive Efficiency", Journal of Royal Statistical Society,SERIES A, 120(3), 253-281.
[6] Hadi-Vencheh.A., Foroughi, A.A.(2006). A generalized DEA model for inputs/outputs estimation, Mathematical and Computer Modeling, 43, 447-457.
[8]Jahanshahloo, G.R., Hosseinzadeh Lotfi, F., Shoja, N., (2004a),Tohidi, G., Razaviyan,SH., The output estimation of a DMU according to improvement of its efficiency. Applied Mathematics and Computation, 147(2), 409-413.
[9] Kachouei, M., Ebrahimnejad, A.,Bagherzadeh-Valami, H., (2002), Efficiency evaluation in fuzzy two- stage data envelopement analysis based on fuzzy arithmetic approach. Journal ofdecisions and operation research, 7(1), 143-159.
[10] Kao, C., Hwang, S.N., (2008), Efficiency decomposition in two-stage data envelopment analysis: an application to non-life insurance companies in Taiwan, European Journal of Operational Research, 185(1), 418-429.
[11] Kao, C., Liu, S.T., (2011), Efficiencies of two-stage system with fuzzy data, fuzzy set and systems, 176(1), 20-35.
[12] Lotfi. A, zadeh, (1965), Fuzzy Logic.
[13] puri, J., Ydav,S.P., Instutitonistic fuzzy data envelopment analysis: An application t the banking sector in inda,Expert system with application, 42(11), (2015), 4982-4998.
[14] Saeedi AVal Noughabi, F., Malekmohammadi, N., Hosseinzadeh Lotfi, F Razavyan, SH., (2022), Efficiency Decomposition in Two-stage Network Data Envelopment Analysis with Undesirable Intermediate Measurement and fuzzy input and output,Fuzzy Information and Engineering, 2022 , 14(2), 123-140.
[15] Saeedi AVal Noughabi,F., Malekmohammadi, N Hosseinzadeh Lotfi, F., Razavyan, SH., (2023) .Efficiency Decomposition in Three - stage Network with Fuzzy Desirable and Undesirable Output and Fuzzy Input in Data Envelopment Analysis, International Journal Of Intelligent Computing.
https://doi.org/10.1108/IJICC-12-2022-0306.
[16] seiford, L.M., Zhu, J.,(1999). Profitability and Marketability of the Top55US commercial Banks ,Management Sience, 45,1270-1288.
[17] SHiri Daryani, z.,Tohidi, G., Daneshian, B., Razavian, SH.,Hosseinzadeh Lotfi, F., (2021), Inverse DEA in Two- Stage System Based on Allocative EFFICIENCY, journal of Intelligent and Fuzzy Systems, 40,591-603.
[18] SHiri Daryani, z., Razavyan, SH., (2021), Input Estimation in Two-Stage Systems with Undesirable Outputs Based on Cost Efficiency, International Journal of Data Envelopment Analysis, Volume.9 No4, P 89-102
[19]Wei, Q., Zhang, J., Zhang, X., (2000), Theory and methodology: An inverse DEA model for inputs/outputs estimate, European Journal of Operational Research, 121(1), 151–163.
[20] Yan, H., Wei, Q. L., & Hao, G., (2002), DEA models for resource reallocation and production input/output estimation. European Journal of Operational Research, 136(1), 19–31.
[21] Zimmermann,H.J., Fuzzy set theory and its application, Spriner Science and Business Media2011.
