粗信息矩阵与其粒度矩阵特征

计算机工程与应用 ›› 2007, Vol. 43 ›› Issue (36): 65-67.

粗信息矩阵与其粒度矩阵特征

郝秀梅

山东财政学院统计与数理学院，济南 250014
山东大学数学与系统科学学院，济南 250100

收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2007-12-21 发布日期:2007-12-21
通讯作者: 郝秀梅

Rough information matrix and its gradulation matrix characteristics

HAO Xiu-mei

Depatement of Statistics and Mathematics，Shandong Finance Institute，Jinan 250014，China
Shool of Mathematics and System Science，Shandong University，Jinan 250100，China

Received:1900-01-01 Revised:1900-01-01 Online:2007-12-21 Published:2007-12-21
Contact: HAO Xiu-mei

摘要/Abstract

摘要： 提出了粗信息矩阵、信息粒度矩阵、粗粒度矩阵的概念，给出了粗信息矩阵的结构及粒度特征；讨论了粗信息矩阵、粗粒度矩阵的性质及运算法则。给出粗信息矩阵与粗集、S-粗集的关系定理、粗信息矩阵与其粗粒度矩阵的关系定理，粗信息矩阵不仅是研究粗系统结构特征的新理论工具，而且是粗系统理论研究与应用研究又一个新的研究方向。

关键词: 粗信息矩阵, S-粗信息矩阵, 粗粒度矩阵

Abstract: This paper puts forward some concepts of rough information matrix，information granulation matrix，rough granulation matrix，and presents its structure characteristics，granulation properties.Using the properties of rough information matrix，this paper discusses its properties and computation rules as well as the relation theorems between rough sets and S-rough sets.In addition，this paper gives some theorems on rough information matrix and its rough granulation matrix.Rough information matrix is not only the new theoretical tools of studying rough system structure characteristics but also a new research direction of studying rough system theory and application.

Key words: rough information matrix, S-rough information matrix, rough granulation matrix

郝秀梅. 粗信息矩阵与其粒度矩阵特征[J]. 计算机工程与应用, 2007, 43(36): 65-67.

HAO Xiu-mei. Rough information matrix and its gradulation matrix characteristics[J]. Computer Engineering and Applications, 2007, 43(36): 65-67.