二元关系在偶对意义下的粗糙集模型  

作　　者：袁晓娟[1] 刘莹[2] 

机构地区：[1]兰州大学,甘肃兰州730000 [2]郑州大学西亚斯国际学院计算机系,河南新郑451150

出　　处：《科技信息》2009年第19期116-117,共2页Science & Technology Information

摘　　要：粗糙集理论是一种处理模糊和不确定性知识的数学工具,主要研究一元关系下的粗糙集模型。针对基于二元关系在笛卡尔积意义下的粗糙集模型,我们提出了二元关系的无序偶对,并对其进行了改进。给出了在偶对积意义下的上/下近似等概念,并设计出算法,通过举例说明了改进的方法和有效性。Rough set theory is a tool handling with fuzzy and uncertain knowledge, it mainly deals with rough set model of unary relation. This paper puts forward unordered-pair product of binary relation based on rough set model of binary relation in the sense of Cartesian product, and improve it, defines some basic concepts, such as lower approximation, upper approximation, and so on, and has designed an algorithm. It shows that the improved method is effective through example.

关 键 词：有序偶对上近似 有序偶对下近似 无序偶对上近似 无序对偶下近似 粗糙集 

分 类 号：O153.1[理学—数学] O158[理学—基础数学]