Chinese Quarterly Journal of Mathematics ›› 2008, Vol. 23 ›› Issue (3): 390-396.

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Formal Concept Analysis Based on Set-valued Mapping

  

  1. 1. School of Mathematics Computer Engineering,Xihua University  2. Zheng zhou Industry Safety Vocational College  3. Department of Applied Mathemat-ics,Southwest Jiaotong University 
  • Received:2007-10-20 Online:2008-09-30 Published:2023-09-21
  • About author: CHEN Li-ya(1972- ), female, native of Xindu, Sichun, M.S.D., a lecturer of Xihua University, engages in uncertainty reasoning; HUANG Tao(1962- ), male, native of Zhoukou, Henan, M.S.D., a advanced lecturer of Zhengzhou Industry Safety Vocational College, engages in uncertainty reasoning; SONG Zhen-ming(1960- ), male, native of Zhengzhou, Henan, a professor of Southwest Jiaotong University, Ph.D.,engages in uncertainty reasoning; PEI Zheng(1968- ), male, native of Yulin, Shannxi, a professor f Xihua University, Ph.D., engages in uncertainty reasoning.
  • Supported by:
     Supported by the Young Foundation of Sichuan Province(06ZQ026-037); Supported by
    the Education Department Foundation of Sichuan Province(2005A121; 2006A084)

Abstract: Formal concept analysis (FCA) is a discipline that studied the hierarchical struc-tures induced by a binary relation between a pair of sets, and applies in data analysis, infor-mation 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. 

Key words:  FCA, set-valued mapping, isomorphism

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