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粗集、S-粗集、函数S-粗集及其关系定理
引用本文:王晶晶,史开泉,雷英杰. 粗集、S-粗集、函数S-粗集及其关系定理[J]. 计算机科学, 2007, 34(6): 156-157
作者姓名:王晶晶  史开泉  雷英杰
作者单位:空军工程大学导弹学院,三原,713800;山东大学数学与系统科学学院,济南,250100
摘    要:针对Pawlak粗集理论的现况,着重介绍了S-粗集、函数S-粗集的定义、两种结构及对偶形式,详细讨论了S-粗集与Pawlak粗集之间的关系,函数S-粗集与S-粗集、Pawlak粗集之间的关系。最后给出了S-粗集理论的可应用领域。

关 键 词:粗集  S-粗集  函数S-粗集  关系定理

S-Rough Sets, Function S-Rough Sets and their Relation Theorem
WANG Jing-Jing,SHI Kai-Quan,LEI Ying-Jie. S-Rough Sets, Function S-Rough Sets and their Relation Theorem[J]. Computer Science, 2007, 34(6): 156-157
Authors:WANG Jing-Jing  SHI Kai-Quan  LEI Ying-Jie
Affiliation:1.Missile Institute, Air Force Engineering University, Sanyuan 713800;2.School of Mathematics and System Science, Shandong University, Jinan 250100
Abstract:The authors briefly analyze the present situation of Pawlak Rough sets, and emphatically introduce the definitions of S-rough sets and Function S-rough sets, two mathematical structures and the dual forms, The authors detailedly summarize the relation between S-rough sets and Pawlak Rough sets, the relation between function S-rough sets and S-rough sets Pawlak Rough sets, and the relation between function S-rough sets and Pawlak Rough sets. At last the authors give the available applications of S-rough sets theory,
Keywords:Rough sets   S-rough sets   Function S-rough sets   Relation theorem
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