| 粗糙集理论中知识约简的信息表示 |
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| 引用本文： | 刘文军,杨培亮.粗糙集理论中知识约简的信息表示[J].大理学院学报,2006,5(8):6-10. |
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| 作者姓名： | 刘文军 杨培亮 |
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| 作者单位： | 1. 长沙理工大学数学与计算科学学院,湖南,长沙,410076
2. 大理学院数学与计算机学院,云南,大理,671003 |
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| 摘 要： | 胡国定教授基于“概念的内涵与外延的反比例关系律”这种思想，给出了一种信息度量方法。本文以粗糙集理论为基础，利用胡教授提出的这种信息度量，讨论了决策表属性约简和信息量之间的关系，证明了对于相容决策表，其属性约简在代数表示和此种方法给出的信息表示下的等价性。并举例说明对于不相容决策表，其属性约简不能用信息量来等价表示。
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| 关 键 词： | 粗糙集 决策表 信息量 属性约简 |
| 文章编号： | 1672-2345（2006）08-0006-05 |
| 收稿时间： | 04 7 2006 12:00AM |
| 修稿时间： | 2006-04-07 |
An Information Represention for Attribute Reduction Based on Rough Set Theory |
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| LIU Wen-jun,YANG Pei-liang.An Information Represention for Attribute Reduction Based on Rough Set Theory[J].Journal of Dali University,2006,5(8):6-10. |
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| Authors: | LIU Wen-jun YANG Pei-liang |
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| Institution: | 1, Department of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha, Hunan 410076,China; 2.Department of Mathematics and Computer, Dali University, Dali, Yunnan 671003, China |
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| Abstract: | Professor Hu Guoding proposed a method of measuring information based on the philosophy that connotation and denotation of a concept satisfies inverse ratio rule, In this paper, we discuss the relationships between attribute reduction and information quantity based on the rough set theory and the information measurement proposed by professor Hu. And also we prove that the attribute reduction with algebraic and information representation is equivalent in a consistent decision table. Through example, it shows that attribute reduction of an inconsistent decision table cannot entirely be represented by information quantity. |
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| Keywords: | rough set decision tables information quantity attribute reduction |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
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