Fuzzy rough DEA model: A possibility and expected value approaches |
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| Affiliation: | 1. Faculty of Mathematical Sciences and Computer, Tabriz University, Tabriz, Iran;2. CENTRUM Católica Graduate Business School, PUCP, Lima, Peru;3. Departments of Mathematics, Shahid Madani Azerbayjan University, Tabriz, Iran;1. College of Biomedical Engineering and Instrument Science, Zhejiang University, 310008 Zhou Yiqing Building 510, Zheda road 38#, Hangzhou, Zhejiang, China;2. Department of Information and Communication Engineering, University of Murcia, Spain;1. School of IOT Engineering, Jiangnan University, Wuxi 214122, China;2. Department of Electronics and Information Engineering, Chonbuk National University, Jeonju, Jeonbuk 561756, Republic of Korea;1. Fraunhofer INT, Appelsgarten 2, D-53879 Euskirchen, Germany;2. Ghent University, Faculty of Economics and Business Administration, Tweekerkenstraat 2, B-9000 Gent, Belgium;1. Department of Electrical Engineering, National Taiwan University of Science and Technology, Taipei, Taiwan;2. Department of Electrical Engineering, Chang Gung University, Taipei, Taiwan;1. Institute of Elec and Information Engineering in Hunan University, Changsha 410082, China;2. INESC Porto and Faculty of Engineering, University of Porto, Porto 4099-002, Portugal;3. College of Computer Science, Beijing University of Information Science and Technology, Beijing, China |
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| Abstract: | Uncertainty is certain in the world of uncertainty. Measuring the performance of any entity in such an uncertain environment is unavoidable. Fuzzy rough data envelopment analysis (FRDEA) provides a room to evaluate the relative efficiency of homogenous entities, widely known as decision making units (DMUs) in the data envelopment analysis (DEA) literature. This paper attempts to create a fuzzy rough DEA model by integrating the classical DEA, fuzzy set theory, and rough set theory, which apparently provide a way to accommodate the uncertainty. Moreover, in contrast to the probability approach, this paper provides a pavement to measure the relative efficiency of any given DMUs in line with the possibility approach along with the fuzzy rough expected value operator. |
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| Keywords: | Data envelopment analysis Rough set theory Rough programming Fuzzy rough variable Possibility theory Expected value operator |
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