摘要
基于邻域系统的粗糙集模型为多种形式的粗糙集扩展模型提供了一般的框架。协调函数是近似空间关系研究的一种工具。本文讨论协调函数下模糊邻域系统的不变性。给出了论域之间的一般映射保持模糊邻域系统的自反性、对称性、传递性、一元性以及欧几里得性等所需要的条件。
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 devoted 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.
作者
贺龙雨
秦克云
HE Long-yu;QIN Ke-yun
出处
《模糊系统与数学》
北大核心
2024年第2期159-168,共10页
Fuzzy Systems and Mathematics
基金
国家自然科学基金资助项目(61976130)。
关键词
模糊邻域系统
协调函数
粗糙集
fuzzy neighborhood systems
consistent functions
rough set
