### Graded multi-granulation rough set based on weighting granulations and dominance relation

WANG Xiao-yan, SHEN Jia-lan, SHEN Yuan-xia

1. School of Computer Science &
Technology, Anhui University of Technology, Maanshan 243032, Anhui, China
• Received:2016-04-16 Online:2017-03-20 Published:2017-03-20

Abstract: It is considered that the quantitative information of the overlap between equivalence classes and a target set in graded multi-granulation rough set. However, the weight of different granularity is ignored. In view of graded multi-granulation rough set and multigranulation rough set based on weighted granulations, it is proposed the model of graded multi-granulation rough set based on weighting granulations and dominance relation. Then, its properties are discussed and a method of granulation reduction is proposed. Finally, the results of examples also show the correctness and effectiveness of the theoretical methods.

CLC Number:

• TP18
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