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Aggregating ranking into one ranking under uncertainty: a robust model in data envelopment analysis | ||
Journal of New Researches in Mathematics | ||
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 06 مهر 1402 | ||
نوع مقاله: research paper | ||
شناسه دیجیتال (DOI): 10.30495/jnrm.2023.69062.2312 | ||
نویسندگان | ||
Hamid Mesgarani ![]() | ||
1Department of Mathematics, Shahid Rajaee Teacher Training University, Tehran, Iran | ||
2Department of Mathematics, Shahid Rajaee Teacher Training University, Tehran, Iran | ||
چکیده | ||
The importance of evaluating the efficiency of organizations and determining the position of the units covered by the organization and its impact on the decisions and management of the organization is quite clear. One of the most important performance appraisal methods for organizations is data envelopment analysis. Data envelopment analysis is a non-parametric method that evaluates and ranks decision-making units in the organization based on input and output values. Due to the uncertainty of the decision space, the input and output values in real-world problems are uncertain. So far, many studies have been conducted in this field to control the uncertainty in the data. Robust optimization is a way to control uncertain parameters in problems. This paper presents a robust data envelopment analysis model to aggregate all rankings into one uncertain ranking. The proposed model in this paper is compared with the optimistic-pessimistic model. The results show that the robust model is more flexible than the optimistic-pessimistic model. The robust model also covers all the optimistic-pessimistic model responses. | ||
کلیدواژهها | ||
Data envelopment analysis؛ Robust optimization؛ Ranking؛ Robust data envelopment analysis | ||
آمار تعداد مشاهده مقاله: 17 |