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  • 通过定义抽象相关关系这一概念来研究覆盖粗糙集.借助群论中的思想,在覆盖上进行抽象,从而在覆盖粗糙集中定义了元素与元素的抽象相关关系,元素与集合的依赖关系.进而在粗糙集上定义了独立集、基、秩甬数等概念,并在此基础...
    独立集秩函数覆盖粗糙集
  • [期刊论文] 《电子科技学刊》 - 2011年2期
    In many machine learning applications,data are not free, and there is a test cost for each data item. For the economical reason, some existing works try to minimize the test cost and at the same time,p...
    Cost-sensitive learningconstraintheuristic algorithmtest cost
  • [外文期刊] Shiping Wang Qingxin Zhu William Zhu Fan Min 《Fundamenta Informaticae》, ISTIC EI SCI PKU CSSCI 2014 4
    Rough sets are efficient to extract rules from information systems. Matroids generalize the linear independency in vector spaces and the cycle in graphs. Specifically, matroids provide well-established...
    Rough setmatroid2-circuit matroiddualityrestrictioncontraction
  • [外文期刊] Shiping Wang William Zhu Qingxin Zhu Fan Min 《Information Sciences: An International Journal》, ISTIC EI SCI PKU CSSCI 2014
    Covering-based rough sets provide an efficient means of dealing with covering data, which occur widely in practical applications. Boolean matrix decomposition has frequently been applied to data mining...
    CoveringRough setBoolean matrix decompositionCharacteristic matrixApproximation operator
  • [外文期刊] Aiping Huang Hong Zhao William Zhu 《Information Sciences: An International Journal》, ISTIC EI SCI PKU CSSCI 2014
    Rough sets were proposed to deal with vagueness and incompleteness of knowledge in information systems. In this field, there are many optimization issues such as attribute reduction. Matroids generaliz...
    Rough setMatroidNullityMatrixAttribute reduction
  • [外文期刊] Jianguo Tang Kun She Fan Min William Zhu 《Theoretical computer science》, ISTIC EI SCI PKU CSSCI 2013
    Rough set theory has been successfully applied to vague and uncertain data due to its approximation ability. Matroid is a sophisticated mathematical structure to provide a unifying abstract treatment f...
    Rough setMatroidP-UMSDirect sumBoundary region
  • [外文期刊] Shiping Wang Qingxin Zhu William Zhu Fan Min 《Knowledge-based systems》, ISTIC EI SCI PKU CSSCI 2012
    Rough sets are efficient for data pre-processing in data mining. However, some important problems such as attribute reduction in rough sets are NP-hard, and the algorithms to solve them are almost gree...
    rough setmatroid2-circuit matroidinformation systemattribute reductionrank functionisomorphism
  • [外文期刊] William Zhu 《Information Sciences: An International Journal》, ISTIC EI SCI PKU CSSCI 2009 3
    Rough set theory is a powerful tool for dealing with uncertainty, granularity, and incompleteness of knowledge in information systems. This paper systematically studies a type of generalized rough sets...
    Rough setFuzzy setGranular computingData miningReductionCoveringApproximation
  • [外文期刊] William Zhu 《Information Sciences: An International Journal》, ISTIC EI SCI PKU CSSCI 2008 3
    Rough set theory is a powerful tool for dealing with uncertainty, granularity, and incompleteness of knowledge in information systems. This paper systematically studies a type of generalized rough sets...
    Rough setFuzzy setGranular computingData miningReductionCoveringApproximation
  • [会议论文] ,2011 - 第二届全国语言动力系统研讨会
      To study with other mathematical theories is an important research direction of rough sets. And this not only enrich the study of rough sets but also may discover some new properties of it. In this p...
    粗糙集边界区域负区域
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