变异粗集与它的过滤特性

山东大学学报(工学版)

变异粗集与它的过滤特性

刘纪芹^1,2，陈淑珍³ ，王红雨³

1.山东大学数学与系统科学学院，山东济南250100；2.山东财政学院统计与数理学院，山东济南250014； 3. 三明学院计算机科学系，福建三明365004

收稿日期:2005-01-05 修回日期:1900-01-01 出版日期:2006-04-24 发布日期:2006-04-24
通讯作者: 刘纪芹

Variation rough set and its filter characters

LIU Ji-qin ^1,2,CHEN Shu-zhen³,WANG Hong-yu³

1.School of Mathematics and System Sciences,Shandong University,Jinan 250100,China; 2. Department of Statistics and Mathematics,Shandong Finance Institute,Jinan 250014,China; 3. Department of Computer Science,Sanming Institute,Sanming 365004,China

Received:2005-01-05 Revised:1900-01-01 Online:2006-04-24 Published:2006-04-24
Contact: LIU Ji-qin

摘要/Abstract

摘要： 利用变异粗集的概念，提出了变异粗集粒度、过滤度的概念，讨论了变异粗集(X-(α),X-(α))与Z.Pawlak粗集(R-(X),R-(X))的粒度、过滤度的关系特征，给出了变异粗集粒度、过滤度的单调性定理.本文的讨论是对变异粗集理论的丰富与发展.

关键词: 变异粗集, 变异粗集粒度, 变异粗集过滤度

Abstract: : By using concept of variation rough set, this paper presents the concepts of granulation degree and filter degree of variation rough set, the granulation characters between variation rough set and Z.Pawlak rough set are discussed . We also analyze the filter characters between variation rough set and Z.Pawlak rough set. In the end, we give the monotonicity theorems of granulation degree and filter degree about variation rough set.

Key words: granulation degree of variation rough set, filter degree of variation rough set , variation rough set

中图分类号:

O159

刘纪芹,陈淑珍,王红雨 . 变异粗集与它的过滤特性[J]. 山东大学学报(工学版), 2006, 36(2): 75-80 .

LIU Ji-qin ,CHEN Shu-zhen,WANG Hong-yu . Variation rough set and its filter characters[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2006, 36(2): 75-80 .

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