JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2020, Vol. 55 ›› Issue (3): 70-80.doi: 10.6040/j.issn.1671-9352.4.2019.068

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Three-way interval-set concept lattice

LIU Ying-ying1, MI Ju-sheng1*, LIANG Mei-she1,2, LI Lei-jun1   

  1. 1. College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050024, Hebei, China;
    2. Shijiazhuang University of Applied Technology, Shijiazhuang 050081, Hebei, China
  • Published:2020-03-27

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Abstract: This paper respectively proposes a three-way interval-set concept lattice model in complete and incomplete formal context, and systematically analyses the connections between the object-induced three-way interval-set concept lattice and the interval-set concept lattice. In addition, the necessary and sufficient conditions for constructing the object-induced three-way interval-set concept on the basis of the interval-set concept are proved, and the corresponding algorithm is formulated. Finally, the relationships between the object-induced three-way interval-set concept and the interval-set concept are studied. The necessary and sufficient conditions for constructing the object-induced three-way interval-set concept on the basis of the classical concept are proved.

Key words: concept lattice, interval set, formal concept analysis, three-way concept

CLC Number: 

  • O236
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