函数双向S-粗集的信度特征

doi:10.3778/j.issn.1002-8331.2009.01.020

计算机工程与应用 ›› 2009, Vol. 45 ›› Issue (1): 66-68.DOI: 10.3778/j.issn.1002-8331.2009.01.020

函数双向S-粗集的信度特征

张凌^1,2,黄顺亮^3,4,蔡成闻⁴

1.龙岩学院数学与计算机科学学院，福建龙岩 364000
2.山东大学数学与系统科学学院，济南 250100
3.山东理工大学管理学院，山东淄博 255049
4.山东大学控制科学与工程学院，济南 250061

收稿日期:2007-12-29 修回日期:2008-03-06 出版日期:2009-01-01 发布日期:2009-01-01
通讯作者: 张凌

Probability characteristic of function two direction S-rough sets

ZHANG Ling^1,2,HUANG Shun-liang^3,4,CAI Cheng-wen⁴

1.School of Mathematics and Computer Science，Longyan University，Longyan，Fujian 364000，China
2.School of Mathematics and System Science，Shandong University，Jinan 250100，China
3.School of Management，Shandong University of Technology，Zibo，Shandong 255049，China
4.School of Control Science and Engineering，Shandong University，Jinan 250061，China

Received:2007-12-29 Revised:2008-03-06 Online:2009-01-01 Published:2009-01-01
Contact: ZHANG Ling

摘要/Abstract

摘要： 利用函数双向S-粗集的结构，给出函数迁移的信度特征，函数集Q的下近似信度特征，函数集Q的上近似信度特征；利用这些结果，给出函数双向S-粗集的信度特征，提出函数双向S-粗集的随机结构与随机定理。函数双向S-粗集的结构是函数双向S-粗集的随机结构的特例，函数双向S-粗集的随机结构是函数双向S-粗集结构的一般形式。

关键词: 函数双向S-粗集, 函数迁移, 信度函数, 随机结构

Abstract: By employing the structure of function two direction S-rough sets，this paper presents the concepts as follows：probability characteristic of function transfer；probability characteristic of the lower approximation of function set Q；probability characteristic of the upper approximation of function set Q.By using these concepts，the probability characteristic of function two direction S-rough sets is given，and the stochastic structure and stochastic theorem of function two direction S-rough sets are proposed.The structure of function two direction S-rough sets is a special case of the stochastic structure of function two direction S-rough sets，and the stochastic structure of function two direction S-rough sets is the general form of the structure of function two direction S-rough sets.

Key words: function two direction S-rough sets, function transfer, probability function, stochastic structure

张凌^1,2,黄顺亮^3,4,蔡成闻⁴. 函数双向S-粗集的信度特征[J]. 计算机工程与应用, 2009, 45(1): 66-68.

ZHANG Ling^1,2,HUANG Shun-liang^3,4,CAI Cheng-wen⁴. Probability characteristic of function two direction S-rough sets[J]. Computer Engineering and Applications, 2009, 45(1): 66-68.

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函数双向S-粗集的信度特征

Probability characteristic of function two direction S-rough sets

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