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信息表离散格的进一步研究 被引量:2

Further Analysis of Discretization Lattice
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摘要 在文献[1]的基础上,得到了离散格的表示定理。进一步证明了在离散格到划分格的映射下交运算可以保持运算,而并运算不能保持运算,因此该映射不是同态映射。根据离散化后得到的对象域划分定义了离散化方案之间的等价关系,证明了随着离散化等价类[DR]的加粗,离散化方案对应的正区域下降,而条件信息熵上升,最后分析了另外两种离散格搜索算法。 Based on Reference [1], this paper obtains the representation theorem of discretization lattice and proves that the mapping from discretization lattice to partition lattice is not a homomor-phism. An equivalence relation between discretization schemes is defined, and further analysis shows that the positive region of conditional attributes decreases and the conditional entropy increases if the discretization schemes coarsen. Finally, another two searching algorithms for discretization lattice are analyzed.
出处 《模式识别与人工智能》 EI CSCD 北大核心 2005年第1期25-30,共6页 Pattern Recognition and Artificial Intelligence
基金 国家自然科学基金(No.60203011)
关键词 同态映射 原子 离散格搜索 Homomorphism Atom Searching for Discretization Lattice
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参考文献9

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共引文献37

同被引文献13

  • 1耿志强,朱群雄,李芳.知识粗糙性的粒度原理及其约简[J].系统工程与电子技术,2004,26(8):1112-1116. 被引量:26
  • 2谢宏,程浩忠,牛东晓.基于信息熵的粗糙集连续属性离散化算法[J].计算机学报,2005,28(9):1570-1574. 被引量:134
  • 3Liu Li-li,Wong A K C.A global optimal algorithm for Class-dependent discretization of continuous data[J].Intelligent Data Analysis, 2004,8: 151-170.
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  • 9Liu Lili, Wong A K C, Wang Yang. A Global Optimal Algorithm for Class-Dependent Discretization of Continuous Data. Intelligent Data Analysis, 2004, 8(2): 151 -170
  • 10苗夺谦,王珏.粗糙集理论中概念与运算的信息表示[J].软件学报,1999,10(2):113-116. 被引量:250

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