Zhan, J. and Liu, Q. and Herawan, T. (2017) A novel soft rough set: Soft rough hemirings and corresponding multicriteria group decision making. Applied Soft Computing, 54. pp. 393-402. ISSN 1568-4946, DOI https://doi.org/10.1016/j.asoc.2016.09.012.
Full text not available from this repository.Abstract
In this paper, we investigate the relationships among rough sets, soft sets and hemirings. The concept of soft rough hemirings is introduced, which is an extended notion of a rough hemiring. It is pointed out that in this paper, we first apply soft rough sets to algebraic structure-hemirings. Further, we first put forward the concepts of C-soft sets and CC-soft sets, which provide a new research idea for soft rough algebraic research. Moreover, we study roughness in hemirings with respect to MSR-approximation spaces. Some new soft rough operations over hemirings are explored. In particular, lower and upper MSR-hemirings (k-ideal and h-ideal) are investigated. Finally, we put forth an approach for multicriteria group decision making problem based on modified soft rough sets and offer an actual example.
| Item Type: | Article |
|---|---|
| Funders: | National Natural Science Foundation of China (11561023) |
| Uncontrolled Keywords: | Rough set; Soft rough set; MSR-hemiring; Decision making |
| Subjects: | Q Science > QA Mathematics Q Science > QA Mathematics > QA75 Electronic computers. Computer science |
| Divisions: | Faculty of Computer Science & Information Technology |
| Depositing User: | Ms. Juhaida Abd Rahim |
| Date Deposited: | 07 Jun 2018 06:02 |
| Last Modified: | 07 Jun 2018 06:02 |
| URI: | http://eprints.um.edu.my/id/eprint/18825 |
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