变精度多粒度粗糙集的信任结构

The belief structure of variable precision multigranulation rough sets

多粒度粗糙集是近年来粗糙集理论中的主要研究课题之一.本文介绍了变精度多粒度粗糙集模型的上、下近似算子;其次,借助划分函数把变精度多粒度粗糙集转化成单粒度粗糙集,构建了变精度多粒度粗糙集模型的信任结构,并生成相应的信任函数与似然函数,这些结果有利于完善变精度多粒度粗糙集的数值属性约简理论.

Multigranulation rough set is one of the importantissues in rough set theory in recent years.The upper and lower approximation operators of variable-precision multigranulation rough set model are introduced.The belief structure of the model is constructed,and the belief function and plausibility function of the model are constructed according to the upper and lower approximation operators of the model.These results are helpful to improve the developement of attribute reduction of variable precision multigranularity rough sets.