Abstract
By analyzing the limitations of optimistic multigranulation rough set and pessimistic multigranulation rough set, the concept of the variable multigranulation rough set is proposed. Such multigranulation rough set is a generalization of both optimistic and pessimistic multigranulation rough set. Furthermore, not only the basic properties about the variable multigranulation rough set is discussed, but also the relationships among optimistic, pessimistic and variable multigranulation rough sets are deeply explored. These results are meaningful for the development of multigranulation rough set theory.
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