JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2020, Vol. 55 ›› Issue (5): 22-31.doi: 10.6040/j.issn.1671-9352.c.2020.001

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Rough approximation in multi-scale formal context

CHEN Dong-xiao1,2, LI Jin-jin1,3*, LIN Rong-de1,2, CHEN Ying-sheng1   

  1. 1. School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, Fujian, China;
    2. Fujian Province University Key Laboratory of Computational Science, Huaqiao University, Quanzhou 362021, Fujian, China;
    3. School of Mathematics and Statistics, Minnan Normal University, Zhangzhou 363000, Fujian, China
  • Published:2020-05-06

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Abstract: Firstly, a kind of multi-scale formal context is proposed in this paper. In this context, with the change of scale, the objects owned by each attribute change monotonously. Furthermore, the concept of rough approximation in multi-scale formal context is introduced, and the relationship between approximation sets in different scales is discussed. Finally, the belief and plausibility functions from the evidence theory are employed to introduce the definitions of upper and lower approximate consistent sets in multi-scale formal context and multi-scale formal decision context.

Key words: multi-scale formal context, approximate concept, evidence theory, upper and lower approximation

CLC Number: 

  • TP18
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