Abstract
Multigranulation is a new developing approach, which can be used for the constructing approximations of target concept. Optimistic multigranulation rough set is consistent to the disjunctive explanation of multigranulation structure while pessimistic multigranulation rough set is consistent to the conjunctive explanation of multigranulation structure. To study the multigranulation structure with both disjunctive and conjunctive explanations, the concept of hybrid multigranulation structure is firstly proposed. The hybrid multigranulation rough set is also proposed. The hybrid multigranulation structure and the corresponding rough set are generalizations of traditional multigranulation structures and rough sets, respectively.
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