Optimistic Decision-Theoretic Rough Sets In Multi-Covering Space

This paper discusses optimistic multigranulation decision-theoretic rough sets in multi-covering space. First, by using the strategy "seeking commonality while preserving difference", we propose the notion of optimistic multigranulation decision-theoretic rough sets on the basis of Bayesian decision procedure. Then, we investigate some important properties of the model. Finally, we investigate the relationships between the proposed model and other related rough set models.