摘要
利用模糊集的一个强包含度,在弱模糊划分的基础上建立了基于该包含度的变精度模糊粗糙集模型,对其重要性质进行了深入研究,并给出了对应形式粗糙度的计算方法,进一步利用海明距离和欧几里得距离定义了该模型下模糊粗糙集的两个粗糙性度量。给出的变精度模糊粗糙集模型能够使模糊粗糙集的运算按照模糊集的运算实现,为变精度模糊粗糙集理论的研究和应用奠定了一定的理论基础。
We studied a power inclusion degree on fuzzy sets and established the fuzzy rough set model based on it with the foundation of weak fuzzy partition.Some important properties of this model were approached and the method to compute the roughness correspondingly was illustrated.Furthermore,two roughness measures of fuzzy rough set in this model were defined according to the Hamming-distance and Euclid-distance.The fuzzy rough set model we proposed can carry the computing on fuzzy rough set by fuzzy sets operating properties.And this model can lay the theoretical foundation for research and applications of variable precision fuzzy rough set.
出处
《计算机科学》
CSCD
北大核心
2011年第9期230-233,252,共5页
Computer Science
基金
国家自然科学基金(71071124
11001227)资助
关键词
包含度
模糊集
粗糙集
变精度模糊粗糙集
粗糙性度量
Inclusion degree
Fuzzy set
Rough set
Variable precision fuzzy rough set
Roughness measure
