Neighborhood system based rough set model provides a uniform framework for some extended rough set models.Consistent functions can be used to study the relationships between approximation spaces.This paper is de-voted to the study of invariant properties of fuzzy neighborhood systems under consistent functions.The requirements for a mapping to preserve the reflexivity,symmetry,transitivity,unary and Euclidean property of fuzzy neighborhood systems are presented respectively.
关键词
模糊邻域系统/协调函数/粗糙集
Key words
fuzzy neighborhood systems/consistent functions/rough set