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This paper combines the probabilistic rough set with the multi-granulation rough set in the multi-granulation space. Then the models of optimistic multi-granulation probabilistic rough set and pessimistic multi-granulation probabilistic rough set are established, respectively. Some properties of these models are investigated. This paper analyzes the knownledge classification accuracy of multi-granulation...
Multi-granulation rough set (MGRS) is a new research direction of rough set theory in recent years. This paper introduces the MGRS into the incomplete fuzzy information systems based on dominance relation. A model of dominance-based multi-granulation rough set (DMGRS) is established. Then a number of important properties are obtained. Moreover, a conclusion is presented by comparing the approximation...
According to the discernibility function constructed by the discernibility matrix, in this paper a new method is proposed that can be easily understood and programmed to get the minimal disjunctive normal form item by item. This method is proved by theorems that the approach can certainly get the minimal disjunctive normal form and all of the reductions. An example shows that the approach is correct...
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