Affiliations: [a] Department of Mathematics and Computer Science, Gannan Normal University, Ganzhou, Jiangxi, China
| [b] Department of Electrical and Computer Engineering, University of Alberta, Edmonton, Canada
| [c] Department of Electrical and Computer Engineering Faculty of Engineering, King Abdulaziz University Jeddah, Saudi Arabia
| [d] System Research Institute, Polish Academy of Sciences, Warsaw, Poland
| [e] College of Information Science and Technology, Qingdao University of Science and Technology, Qingdao, China
| [f] Department of Physical Education, Gannan Normal University, Ganzhou, Jiangxi, China
Correspondence:
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Corresponding author. Caihui Liu, Department of Mathematics and Computer Science, Gannan Normal University, Ganzhou, 341000 Jiangxi, China. E-mail: [email protected].
Abstract: Three way decision model, as a new and meaningful decision making method, has attracted much attention and various results and applications have been reported. This paper investigates decision-theoretic rough set (DTRS) approach in the framework of multi-covering approximation spaces. By integrating fuzzy probability measure into Bayesian decision procedure, we define the notions of covering-based mean multigranulation decision-theoretic rough sets, covering-based optimistic multigranulation decision-theoretic rough sets, and covering-based pessimistic multigranulation decision-theoretic rough sets. We first investigate the basic properties of the three proposed models. Second, we elaborate on the relationship between the proposed models and those existing in literature, and discuss the interrelationships of the models. Finally, an illustrative example is employed to show the application of the proposed models.
Keywords: Covering, decision-theoretic rough set, multi-granulation, three way
decisions
