دانشگاه آزاد اسلامی واحد علوم و تحقیقات

 آمار

تعداد نشریات50
تعداد شماره‌ها2,203
تعداد مقالات20,192
تعداد مشاهده مقاله24,081,891
تعداد دریافت فایل اصل مقاله22,049,037
Abdolahi, Eskandar. (1401). Ranking with fuzzy data using symmetrical weights as a secondary goal. , 10(4), 11-22. doi: 10.30495/ijdea.2023.72298.1191
Eskandar Abdolahi. "Ranking with fuzzy data using symmetrical weights as a secondary goal". , 10, 4, 1401, 11-22. doi: 10.30495/ijdea.2023.72298.1191
Abdolahi, Eskandar. (1401). 'Ranking with fuzzy data using symmetrical weights as a secondary goal', , 10(4), pp. 11-22. doi: 10.30495/ijdea.2023.72298.1191
Abdolahi, Eskandar. Ranking with fuzzy data using symmetrical weights as a secondary goal. , 1401; 10(4): 11-22. doi: 10.30495/ijdea.2023.72298.1191

Ranking with fuzzy data using symmetrical weights as a secondary goal

International Journal of Data Envelopment Analysis
دوره 10، شماره 4، بهمن 2022، صفحه 11-22  XML اصل مقاله (572.96 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.30495/ijdea.2023.72298.1191
نویسنده
Eskandar Abdolahi email
چکیده
When we use the CCR model in the input-oriented with fuzzy data for ranking with the help of cross-efficiency, there is a possibility that the model will find a different optimal answer. This means that the ranking is not unique, that is, a decision-making unit may be assigned several ranks. Here, the judgment regarding the ranking faces a problem. To solve this problem, a secondary objective is determined for weight selection. According to that secondary objective, a suitable weight is selected from among the optimal solutions. In this article, the secondary goal of the concept of symmetrizing the weights plays a fundamental role in solving the mentioned problem. The model selects weights that are symmetrical, the act of choosing symmetrical weights causes many weights that are not useful to be removed from the set. The decision-making unit that selects symmetrical weights for all indicators, has a better performance than the decision-making unit that does not use symmetrical weights and covers its weak points with low weight and highlights its strong points with high weight. The model along with the mentioned secondary objective is used to evaluate decision-making units with fuzzy input and output, by choosing the optimal weight, a cross-efficiency table is formed. By using the cross-efficiency table, the efficiency of each unit is determined and ranked compared to other units. Units are done.
کلیدواژه‌ها
Data envelopment analysis؛ Secondary goal؛ Cross-efficiency؛ Ranking
مراجع
[1] Farrell, M. J. The Measurement of Productive Efficiency, Journal of the Royal Statistic Society, 120 (1957) 253 –281.

[2] Banker, R. D., Charnes, A., Cooper, W. W. Some models for estimating technical and scale inefficiencies in data envelopment analysis. Management science, 30(1984), 1078-1092.

[3] Charnes, A., & Cooper, W.W. Measuring the efficiency of decision-making units. European Journal of Operational Research, 2(1978)429–444.

 

[4] Allahviranloo, T., Saneifard, R., Hosseinzadeh, F., & Mikaeilvand, N. Euclidean Ranking DMUs with fuzzy data in DEA. Applied Mathematical Sciences, 60, (2007). 2989-2998.


[5] Bagherzadeh Valami, H., Raeinojehdehi, R. Ranking units in Data Envelopment Analysis with fuzzy data. Journal of Intelligent and Fuzzy Systems, 30(2016)2505-2516.

 

[6] Jahanshahloo, G. R., Soleimani-Damaneh, M., Nasrabadi, E. Measure of efficiency in DEA with fuzzy input–output levels: a methodology for assessing, ranking
and imposing of weights restrictions. Applied Mathematics and Computation, 156(2004)175-187.


[7] Ignatius, J., M. Ghasemi, F. Zhang, A. Emrouznejad and A. Hatami-Marbini, Carbon Efficiency Evaluation: An Analytical Framework Using Fuzzy DEA. European Journal of Operational Research. 253(2016)428-440.

 

[8] Wen, M., Li, H. Fuzzy data envelopment analysis (DEA): model and ranking method. Journal of Computer and Applied Mathematics. 223(2009)872–878.

 

[9] Sanei M., Rostami-Malkhalifeh, M. Saleh, H. A new method for solving fuzzy DEA models. International Journal of Industrial Mathematics, 1 (2009), 307-313­­.

 

[10] Doyle, J., & Green, R. (1994). Efficiency and cross-efficiency in DEA: Derivations, meanings and uses. Journal of the operational research society, 45(5), 567-578.

 

[11] Dotoli, M., Epicoco, N., Falagario, M., Sciancalepore, F. A cross-efficiency fuzzy data envelopment analysis technique for performance evaluation of decision making
units under uncertainty. Computer and Industrial Engineering. 79(2015)103–114.


[12] Jin, M., S. Ang, F. Yang and Bi, G., An improved cross-ranking method in data envelopment analysis. INFOR, 54(2016)19-32.

آمار
تعداد مشاهده مقاله: 34
تعداد دریافت فایل اصل مقاله: 37


سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب