拟阵是一种图和矩阵的同时推广的概念,而覆盖粗糙集是经典粗糙集的推广。利用拟阵理论研究覆盖模糊粗糙集,从而将两者进行了融合,提出了拟阵覆盖模糊粗糙集的概念,定义了拟阵覆盖近似空间的上下近似。分析了拟阵覆盖模糊粗糙集的相关性质,定义了拟阵覆盖粗糙集下的粗糙度,并通过它来衡量不确定程度,这也进一步推广了粗糙度。
Matroid is an extension to graph and matrix,while covering rough set is a generalization of finite rough sets.This paper uses matroid to study covering fuzzy rough sets and combines these two concepts.Firstly,it proposes the concepts of matroid covering-based fuzzy rough sets accordingly and defines the upper and lower approximations of matroid covering ap-proximate space.At the same time,some base attributes of matroid covering fuzzy rough sets have been analyzed.In the end,this paper defines the rough degree in matroid covering fuzzy rough sets and uses it to measure the degree of uncertainty.So,this is a farther more extension to rough degree.