With granular computing point of view,this paper first presents a novel rough set model with a multigranulation view,called pessimistic rough decision,where set approximations are defined through using consistent gran...With granular computing point of view,this paper first presents a novel rough set model with a multigranulation view,called pessimistic rough decision,where set approximations are defined through using consistent granules among multiple granular spaces on the universe.Then,we investigate several important properties of the pessimistic rough decision model.With introduction of the rough set model,we have developed two types of multigranulation rough sets(MGRS):optimistic rough decision and pessimistic rough decision. These multigranulation rough set models provide a kind of effective approach for problem solving in the context of multi granulations.展开更多
基金supported by grants from the National Natural Science Foundation of China(Nos.60903110, 60773133 and 70971080)the Natural Science Foundation of Shanxi Province in China(Nos.2009021017-1, 2008011038).
文摘With granular computing point of view,this paper first presents a novel rough set model with a multigranulation view,called pessimistic rough decision,where set approximations are defined through using consistent granules among multiple granular spaces on the universe.Then,we investigate several important properties of the pessimistic rough decision model.With introduction of the rough set model,we have developed two types of multigranulation rough sets(MGRS):optimistic rough decision and pessimistic rough decision. These multigranulation rough set models provide a kind of effective approach for problem solving in the context of multi granulations.