| 集值决策信息系统的属性约简及确定性决策规则优化 |
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| 引用本文： | 管延勇,薛佩军,胡海清.集值决策信息系统的属性约简及确定性决策规则优化[J].系统工程与电子技术,2006,28(4):551-555. |
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| 作者姓名： | 管延勇 薛佩军 胡海清 |
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| 作者单位： | 1. 山东大学数学与系统科学学院,山东,济南,250100;济南大学理学院,山东,济南,250022
2. 山东大学数学与系统科学学院,山东,济南,250100 |
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| 基金项目： | 国家自然科学基金(70271048)，山东省自然科学基金资助课题(Y2001G07) |
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| 摘 要： | 在集值决策信息系统中定义了一种相容关系,利用最大相容类定义了两类上下近似算子;分别利用两类下近似算子,定义了属性的A-相对约简和E-相对约简,以获取确定性决策规则的优化规则;分别定义了两种区分函数,相应地给出了A-相对约简和E-相对约简的区分函数求法,并证明了该方法的正确性。
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| 关 键 词： | 信息科学 信息系统 粗糙集 属性约简 区分函数 |
| 文章编号： | 1001-506X(2006)04-0551-05 |
| 修稿时间： | 2005年4月1日 |
Attribute reduction and definite decision rules optimization in set-valued decision information systems |
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| GUAN Yan-yong,XUE Pei-jun,HU Hai-qing.Attribute reduction and definite decision rules optimization in set-valued decision information systems[J].System Engineering and Electronics,2006,28(4):551-555. |
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| Authors: | GUAN Yan-yong XUE Pei-jun HU Hai-qing |
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| Abstract: | In set-valued decision information systems,some objects may possess more than one attribute values for an attribute.A tolerance relation and two kinds of lower and upper approximation operators are defined by use of maximal tolerance classes,and two kinds of attribute reduction are derived accordingly,that is,A-relative reduction and E-relative reduction,so as to get the optimal definite decision rules.In order to compute A-relative reduction and E-relative reduction,two discernibility functions are defined respectively,and the computation approaches of these two kinds of attribute reduction are proved and exemplified. |
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| Keywords: | information science information system rough set attribute reduction discernibility function |
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