| 基于模糊区分矩阵的区间值信息系统属性约简 |
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| 引用本文： | 龚伟林,李德玉,王素格,程利涛.基于模糊区分矩阵的区间值信息系统属性约简[J].山西大学学报(自然科学版),2011,34(3):381-387. |
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| 作者姓名： | 龚伟林 李德玉 王素格 程利涛 |
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| 作者单位： | 山西大学计算机与信息技术学院计算智能与中文信息处理省部共建教育部重点实验室,山西太原,030006 |
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| 基金项目： | 国家自然科学基金(6097001460875040); 教育部高等学校博士点基金(200801080006); 山西省自然科学基金(2010011021-1); 太原市科技局明星专项(09121001) |
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| 摘 要： | 首先分析了区间量的测量过程,根据误差理论定义了一种能够合理反映两个区间量相似程度的相似关系.在区间量的相似性度量基础上,将属性集映射到论域笛卡尔积上的一个模糊集簇,建立了基于模糊区分矩阵的属性约简理论,讨论了其特点,提出了将区分度离散化的观点,探讨了它对于系统鲁棒性的意义.最后设计了基于属性重要度的约简算法并通过实例验证了其有效性.
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| 关 键 词： | 区间值信息系统 相似性度量 区分度 区分矩阵 属性约简 |
Attribute Reduction of Interval-Valued Information System Based on Fuzzy Discernibility Matrix |
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| GONG Wei-lin,LI De-yu,WANG Su-ge,CHENG Li-tao.Attribute Reduction of Interval-Valued Information System Based on Fuzzy Discernibility Matrix[J].Journal of Shanxi University (Natural Science Edition),2011,34(3):381-387. |
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| Authors: | GONG Wei-lin LI De-yu WANG Su-ge CHENG Li-tao |
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| Institution: | GONG Wei-lin,LI De-yu,WANG Su-ge,CHENG Li-tao(Key Laboratory of Ministry of Education for Computation Intelligence and Chinese Information,School of Computer and Information Technology,Shanxi University,Taiyuan 030006,China) |
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| Abstract: | We proposes a new method to measure the similarity of two interval values,this measurement is based on physical measuring and error processing theory,so it is more reasonable than original methods.Moreover,we introduce a new method of attributes reduction with fuzzy discernibility matrix.We also discuss a discretization argument of the similarity measurement function,which helps to improve the system robustness. |
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| Keywords: | interval-valued information similarity measurement fuzzy discernibility matrix discretization argument attribute reduction |
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