基于集值映射的形式概念分析

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.

作 者： 陳利婭 黃濤 宋振明 PEI Zheng CHEN Li-ya HUANG Tao SONG Zhen-ming PEI Zheng   作者單位： 陳利婭,PEI Zheng,CHEN Li-ya,PEI Zheng(School of Mathematics Computer Engineering,Xihua University,Chengdu 610039,China)

黃濤,HUANG Tao(Zheng zhou Industry Safety Vocational College,Xinzheng 451192,China)

宋振明,SONG Zhen-ming(Department of Applied Mathematics,Southwest Jiaotong University,Chengdu 610031,China) 

刊 名： 數學季刊（英文版）  ISTIC PKU 英文刊名： CHINESE QUARTERLY JOURNAL OF MATHEMATICS  年，卷(期)： 2008 23(3)  分類號： O142  關鍵詞： FCA   set-valued mapping   isomorphism  

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