基于区间灰集的广义灰色粗糙集模型  

Generalization of Grey Rough Set Model Based on Interval Grey Set

作　　者：吴志远[1] 钟培华 缪建群[1] WU Zhi-yuan;ZHONG Pei-hua;MIAO Jiang-qun(School of Computer and Information Engineering, Jiangxi Agricultural University, Nanchang 330045, China)

机构地区：[1]江西农业大学计信学院,南昌330045

出　　处：《大学数学》2020年第6期7-11,共5页College Mathematics

摘　　要：粗糙集模型的推广是粗糙集理论研究的重要方向之一.针对现实生活中的大部分信息是缺省的和属性取值不确定性的情况,引入了区间灰集概念.文中在区间灰集基础上,构造了一对上近似算子下近似算子,将基于等价关系的灰色粗糙集模型拓展到基于一般二元关系的广义灰色粗糙集模型,并给出其相应的性质.通过该模型拓展了粗糙集模型理论和灰色系统理论,从而为知识获取提供了一个新的不确定性方法.The generalization of rough set model is one of the most important branches of rough set theory study.Considering the reality that most o f the information systems are the default values and the situation that many attributes are uncertainty in the real world,a new grey set named interval grey set was proposed in this paper.On the basis of it,the lower approximation operator and upper approximation operator are defined.Grey rough set model based on equivalence relation is extended to generalized grey rough set model based on general binary relation,and the relevant properties are also given.The new model has extended classical rough set theory and grey system theory.It has given a new general framework for the study of DM and KDD.

关 键 词：粗糙集 灰集 区间灰集 上近似算子 下近似算子 

分 类 号：O29[理学—应用数学]