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