### 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

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.

CLC Number:

• O236
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