Solving Generalized DEA/AR Model With Fuzzy Data and Its Application to Evaluate the Performance of Manufacturing Enterprises | ||
| Interdisciplinary Journal of Management Studies | ||
| دوره 14، شماره 2، تابستان 2021، صفحه 365-381 اصل مقاله (663.72 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22059/ijms.2020.296469.673937 | ||
| نویسندگان | ||
| Roohollah Abbasi Shureshjani* 1؛ Ali Asghar Foroughi2 | ||
| 1Department of Management, Humanities College, Hazrat-e Masoumeh University, Qom, Iran | ||
| 2Department of Mathematics, University of Qom, Qom, Iran | ||
| چکیده | ||
| The use of conventional data envelopment analysis (DEA) models in real-world problems are limited because of some restrictions that must be considered in the model such as imprecise or vague data in inputs and outputs as well as additional information or assumptions. One way to handle this problem is by using fuzzy DEA with assurance regions (FDEA/AR) models. There is a common approach in almost all the suggested methods for solving FDEA/AR models. However, in this paper, we show that in some DEA/AR models, applying this approach can be led to inappropriate results. Four theorems are given to provide some sufficient conditions for a DMU to be the DEA/AR efficient. These theorems can be used to check the accuracy of the presented methods for solving FDEA/AR models, too. Moreover, a new method for solving a generalized FDEA/AR model that includes established DEA models such as CCR model (Charnes et al., 1978), BCC model (Banker et al., 1984), FG model (Färe & Grosskopf, 1985), and ST model (Seiford & Thrall, 1990) is proposed. These models are constant, variable, non-decreasing, and non-increasing returns to scale models, respectively. The proposed method is applied to evaluate the performance of manufacturing enterprises. | ||
| کلیدواژهها | ||
| Data envelopment analysis؛ Fuzzy DEA؛ Assurance regions؛ Fuzzy numbers؛ Efficiency | ||
| مراجع | ||
|
| ||
|
آمار تعداد مشاهده مقاله: 1,100 تعداد دریافت فایل اصل مقاله: 793 |
||