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基于广义粗糙集的属性约简
  • ISSN号：1001-7011
  • 期刊名称：《黑龙江大学自然科学学报》
  • 时间：0
  • 分类：O177.3[理学—数学;理学—基础数学]
  • 作者机构：[1]哈尔滨工业大学理学院,哈尔滨150001
  • 相关基金：国家自然科学基金资助项目（10271035;10571035;60703013）
作者： 吴从圻[1], 王长忠[1]
关键词： 广义粗糙集, 二元关系, 属性约简, 辨识矩阵, generalized rough sets, binary relations, attribute reduction, discernibility matrix
中文摘要：

目前,人们对广义粗糙集的研究主要集中在集合的近似计算上,而真正利用广义粗糙集进行属性约简的研究还很少见。基于广义粗糙集理论研究了信息系统中属性约简的问题。首先定义了关系信息系统及其属性约简的概念。然后给出了属性约简的判定定理和辨识矩阵并详细地研究了属性约简的基本性质。最后给出了计算信息系统中属性的所有约简的一般方法。

英文摘要：

The existing researches on generalized rough sets are mainly concentrated on set approximations; less effort has been made for attribute reduction. Attribute reduction in information systems based on generalized rough sets is studied. Firstly, a relation information system and its attribute reduction are defined. A judgment theorem and a discernibility matrix associated with the attribute reduction are presented. Finally, a method to compute all the reductions in information systems is proposed.

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期刊信息
  • 《黑龙江大学自然科学学报》
  • 北大核心期刊（2011版）
  • 主管单位:黑龙江省教育厅
  • 主办单位:黑龙江大学
  • 主编：霍丽华
  • 地址：哈尔滨市学府路74号
  • 邮编：150080
  • 邮箱：hdxb@vip.sohu.com
  • 电话：0451-86608818
  • 国际标准刊号：ISSN：1001-7011
  • 国内统一刊号：ISSN：23-1181/N
  • 邮发代号:14-114
  • 获奖情况:
  • 国内外数据库收录:
  • 美国化学文摘（网络版）,美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）
  • 被引量:4204