| 双精度容差关系决策粗糙集及其属性约简 |
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| 引用本文： | 张鑫,李续武.双精度容差关系决策粗糙集及其属性约简[J].计算机应用研究,2017,34(6). |
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| 作者姓名： | 张鑫 李续武 |
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| 作者单位： | 空军工程大学 防空反导学院,空军工程大学 防空反导学院 |
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| 基金项目： | 国家自然科学基金(61272011)资助课题 |
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| 摘 要： | 决策粗糙集理论是经典粗糙集理论结合贝叶斯理论拓展而来。为在不完备区间值信息系统下研究决策粗糙集理论,本文首先提出属性相似度的概念,并基于属性相似度定义了双精度容差关系。然后,基于双精度容差关系,结合贝叶斯最小风险决策原则建立不完备区间值信息系统下决策粗糙集模型。针对该模型,对不确定性度量进行修正并基于修正的不确定性度量对该模型的属性约简进行研究。最后提出属性约简算法并应用于目标识别实例。
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| 关 键 词： | 决策粗糙集 容差关系 不确定性度量 属性约简 目标识别 |
| 收稿时间： | 2016/4/19 0:00:00 |
| 修稿时间： | 2017/4/8 0:00:00 |
Decision-theoretic rough set and reduction of dual-variable precision tolerance relation |
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| ZHANG Xin and LI Xu-wu.Decision-theoretic rough set and reduction of dual-variable precision tolerance relation[J].Application Research of Computers,2017,34(6). |
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| Authors: | ZHANG Xin and LI Xu-wu |
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| Abstract: | Based on rough set theory and Bayes theory, the Decision-theoretic rough set is expended. In order to research decision-theoretic rough set in incomplete interval-valued information system, first, we come up with the similarity degree and the dual-variable precision tolerance relation are proposed. Then, based on the relation, the decision-theoretic rough set model is established in the incomplete interval-valued information system. Then the definition of uncertainty measure is redefined and the reduction of the model is studied. Finally, the reduction algorithm is proposed and applied to a target recognition example. |
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| Keywords: | decision-theoretic rough set tolerance relation uncertainty measure attribute reduction target recognition |
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