JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2019, Vol. 54 ›› Issue (2): 30-40.doi: 10.6040/j.issn.1671-9352.9.2018.002

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Multi-scale theory in formal concept analysis

LI Jin-hai1,2, WU Wei-zhi3,4, DENG Shuo1,2   

  1. 1. Data Science Research Center, Kunming University of Science and Technology, Kunming 650500, Yunnan, China;
    2. Faculty of Science, Kunming University of Science and Technology, Kunming 650500, Yunnan, China;
    3. School of Mathematics, Physics and Information Science, Zhejiang Ocean University, Zhoushan 316022, Zhejiang, China;
    4. Key Laboratory of Oceanographic Big Data Mining and Application of Zhejiang Province, Zhejiang Ocean University, Zhoushan 316022, Zhejiang, China
  • Published:2019-02-25

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Abstract: By using forward and backward scaling approaches, the transformation relationship between information systems and formal contexts was clarified, and the notion of a multi-scale formal context was formally defined. It was verified that multi-scale formal contexts and multi-scale information systems could semantically be equivalent to each other. As for a multi-scale formal context, implication rules obtained from different scales were induced by each other. The obtained results could provide a theoretical reference for the further research of multi-scale approaches in formal concept analysis.

Key words: granular computing, rough set, concept lattice, formal context, multi-scale

CLC Number: 

  • TP18
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