Topological Properties of the Pessimistic Multigranulation Rough Set Model

Multigranulation rough set theory is a newly proposed mathematical tool for dealing with inexact, uncertain or vague information. This paper concerns the topological properties of pessimistic multigranulation rough sets. It is shown that the collection of definable sets in pessimistic rough set model determines a clopen topology on the universe. Furthermore, it forms a Boolean algebra under the usual set-theoretic operations.

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