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Multigranulation single valued neutrosophic covering-based rough sets and their applications to multi-criteria group decision making | ||
| Iranian Journal of Fuzzy Systems | ||
| دوره 17، شماره 5، آذر و دی 2020، صفحه 109-126 اصل مقاله (588.54 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2020.5519 | ||
| نویسندگان | ||
| J. Q. Wang* 1؛ X. H. Zhang2 | ||
| 1College of Electrical and Control Engineering, Shaanxi University of Science and Technology, Xi'an 710021, PR China | ||
| 2School of Arts and Sciences, Shaanxi University of Science and Technology, Xi'an 710021, PR China | ||
| چکیده | ||
| In this paper, three types of (philosophical, optimistic and pessimistic) multigranulation single valued neutrosophic (SVN) covering-based rough set models are presented, and these three models are applied to the problem of multi-criteria group decision making (MCGDM). Firstly, a type of SVN covering-based rough set model is proposed. Based on this rough set model, three types of multigranulation SVN covering-based rough set models under the concept of multigranulation SVN $\beta$-covering approximation space are proposed, where $\beta$ is a SVN number. Moreover, the connections among these four models are investigated. Secondly, some conditions under which different multigranulation SVN $\beta$-covering approximation spaces induced the same multigranulation SVN covering approximation operators are presented. Finally, three novel methods are presented to MCGDM problems under the multigranulation SVN covering-based rough set models. Furthermore, the proposed MCGDM methods are compared with other methods through a problem about paper defect diagnosis. | ||
| کلیدواژه‌ها | ||
| Covering-based rough set؛ single valued neutrosophic set؛ multigranulation؛ multi-criterion decision making؛ paper defect diagnosis | ||
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آمار تعداد مشاهده مقاله: 185 تعداد دریافت فایل اصل مقاله: 118 |
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