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多粒度是近年来粗糙集领域研究的一个热点方向,为使多粒度模型更适用于实际数据,提高模型的可用性,模糊思想被引入到多粒度粗糙集模型中。本文构建了基于模糊相似关系下的多粒度模糊粗糙集模型,并建立了模糊信任结构。在该信任结构下根据多粒度模糊粗糙集的上、下近似构造信任函数与似然函数。研究多粒度模糊粗糙集在模糊等价关系下的属性约简,并给出相关算法。
Multi-granularity is a hot research direction in the field of rough sets in recent years. To make multi-granularity model more suitable for real data and improve the usability of the model, the fuzzy idea is introduced into the multi-granularity rough set model. In this paper, a multi-granularity fuzzy rough set model based on fuzzy similarities is constructed and a fuzzy trust structure is established. Under this trust structure, the trust function and the likelihood function are constructed according to the upper and lower approximations of multi-granularity fuzzy rough set. The attribute reduction of multi-granularity fuzzy rough sets under fuzzy equivalence relations is studied and the relevant algorithms are given.