Rough entropy under tolerance relation in set-valued information systems

doi:10.3778/j.issn.1002-8331.2010.07.009

Computer Engineering and Applications ›› 2010, Vol. 46 ›› Issue (7): 29-31.DOI: 10.3778/j.issn.1002-8331.2010.07.009

• 研究、探讨 • Previous Articles Next Articles

Rough entropy under tolerance relation in set-valued information systems

MA Jian-min¹，ZHU Chao-hui²，ZHANG Wen-xiu³

1.Department of Mathematics and Information Sciences，Chang’an University，Xi’an 710064，China
2.Research Institute of Concrete Module of Zhuocheng，Shenzhen，Guangdong 518000，China
3.Institute of Information and System Science，Faculty of Science，Xi’an Jiaotong University，Xi’an 710049，China

Received:2009-07-09 Revised:2009-09-10 Online:2010-03-01 Published:2010-03-01
Contact: MA Jian-min

相容关系下集值信息系统的粗糙熵

马建敏¹，朱朝晖²，张文修³

1.长安大学理学院数学与信息科学系，西安 710064
2.深圳卓成混凝土模块研究所，广东深圳 518000
3.西安交通大学理学院信息与系统科学研究所，西安 710049

通讯作者: 马建敏

Abstract

Abstract: Entropy theory is an effective tool for uncertainty study.Based on a tolerance relation defined on a set-valued information system，rough entropy is proposed.The maximum and minimum values of rough entropy are shown.And the monotony of rough entropy is also proved.

Key words: set-valued information system, tolerance relation, information granule, rough entropy

摘要： 熵理论是信息系统中不确定性研究的有效工具之一。首先给出了集值信息系统的相容关系，在此基础上引入了粗糙熵。讨论了粗糙熵的最大、最小值，并证明了粗糙熵的单调性。

关键词: 集值信息系统, 相容关系, 信息粒, 粗糙熵

CLC Number:

TP18

MA Jian-min¹，ZHU Chao-hui²，ZHANG Wen-xiu³. Rough entropy under tolerance relation in set-valued information systems[J]. Computer Engineering and Applications, 2010, 46(7): 29-31.

马建敏¹，朱朝晖²，张文修³. 相容关系下集值信息系统的粗糙熵[J]. 计算机工程与应用, 2010, 46(7): 29-31.

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Rough entropy under tolerance relation in set-valued information systems

相容关系下集值信息系统的粗糙熵

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