Incomplete multigranulation decision rules acquisition

Multigranulation theory is introduced into the incomplete decision systems in this paper. And the non-symmetric similarity based incomplete mulgiranulation rough set model is proposed. In the new model, multigranulation theory and approximate distribution reduction are combined to obtain attribute reductions and the simplified decision rules. Through a numerical example, the conceptual arguments are substantiated, and find that the methods of multigranulation approximate distribution reducts and rules acquisition are more reasonable and effective than the original methods in single granulation. These results are meaningful both in the theory and in applications.