Abstract
Hybrid multi-granularity approach is a data processing mode in rough set theory. Taking the incomplete information system as the research object, variable precision rough set method and hybrid multi-granulation rough set method is fused. And this paper proposes a hybrid multi-granulation rough sets based on variable precision tolerance relations and discusses two other hybrid multi-granulation rough sets of variable precision based on similarity relation and limited tolerance relation. Basic properties of hybrid multi-granularity rough set of variable precision are discussed, which provides a new approach to deal with the incomplete information system.
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