%A LI Jin-hai, WU Wei-zhi, DENG Shuo %T Multi-scale theory in formal concept analysis %0 Journal Article %D 2019 %J JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) %R 10.6040/j.issn.1671-9352.9.2018.002 %P 30-40 %V 54 %N 2 %U {http://lxbwk.njournal.sdu.edu.cn/CN/abstract/article_3028.shtml} %8 %X 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.