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基于集值映射的形式概念分析
引用本文:陈利娅,黄涛,宋振明.基于集值映射的形式概念分析[J].数学季刊,2008,23(3).
作者姓名:陈利娅  黄涛  宋振明
摘    要:

关 键 词:集值映射  形式概念  数学分析  数理逻辑

Formal Concept Analysis Based on Set-valued Mapping
CHEN Li-ya HUANG Tao SONG Zhen-ming PEI Zheng.Formal Concept Analysis Based on Set-valued Mapping[J].Chinese Quarterly Journal of Mathematics,2008,23(3).
Authors:CHEN Li-ya HUANG Tao SONG Zhen-ming PEI Zheng
Institution:[1]School of Mathematics Computer Engineering, Xihua University, Chengdu 610039, China [2]Zheng zhou Industry Safety Vocational College, Xinzheng 451192, China [3]Department of Applied Mathematies, Southwest Jiaotong University, Chengdu 610031, China
Abstract:Formal concept analysis (FCA) is a discipline that studied the hierarchical structares induced by a binary relation between a pair of sets,and applies in data analysis,information retrieval,knowledge discovery,etc.In this paper,it is shown that a formal context T is equivalent to a set-valued mapping S :G →P(M),and formal concepts could be defined in the set-valued mapping S.It is known that the topology and set-valued mapping are linked.Hence,the advantage of this paper is that the conclusion make us to construct formal concept lattice based on the topology.
Keywords:FCA  set-valued mapping  isomorphism
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