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一般二元关系下信息系统知识的粒度描述
引用本文:徐伟华,刘士虎,张文修.一般二元关系下信息系统知识的粒度描述[J].计算机工程与应用,2011,47(18):40-44.
作者姓名:徐伟华  刘士虎  张文修
作者单位:1.重庆理工大学 数学与统计学院,重庆 400054 2.西安交通大学 理学院,西安 710049
基金项目:重庆市教委科技项目,重庆市九龙坡区科技项目
摘    要:在一般二元关系下信息系统中通过引入关系划分函数,建立了系统的概率空间,从而避免了此类系统论域只能形成覆盖而不能构成划分的局限性。进一步给出了一般二元关系下信息系统的粒度描述,得到了其重要性质,并证明了此类系统中知识的代数表示与粒度描述是完全等价的。最后通过实例验证了该粒度描述的有效性,为信息系统知识表示的进一步研究奠定了一定的理论基础。

关 键 词:一般二元关系  粒度  信息系统  知识表示  粗糙集  
修稿时间: 

Granularity representation of knowledge in information system based on general binary-relation
XU Weihua,LIU Shihu,ZHANG Wenxiu.Granularity representation of knowledge in information system based on general binary-relation[J].Computer Engineering and Applications,2011,47(18):40-44.
Authors:XU Weihua  LIU Shihu  ZHANG Wenxiu
Affiliation:1.School of Mathematics and Statistics,Chongqing University of Technology,Chongqing 400054,China 2.School of Science,Xi’an Jiaotong University,Xi’an 710049,China
Abstract:Probability space is established by introducing a portion function in information system based on general binary-relation,this avoids the limitations that systems based on general binary-relation can't be seen as a partition but only a cover. Moreover,granularity representation of knowledge is proposed in information system based on general binary-relation,and some important properties are obtained.It can be proved that the algebra representation of knowledge is equal to the granularity representation of knowledge in information system.Finally,the validity is examined by two examples,and the proposed frame- work paves the road for the further study of knowledge representation in information system.
Keywords:General binary-relation  Granularity  Information system  Knowledge representation  Rough set
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