Rule acquisition of three-way semi-concept lattices in formal decision context

Three-way concept analysis is an important tool for information processing, and rule acquisition is one of the research hotspots of three-way concept analysis. However, compared with three-way concept lattices, three-way semi-concept lattices have three-way operators with weaker constraints, which can generate more concepts. In this article, the problem of rule acquisition for three-way semi-concept lattices is discussed in general. The authors construct the finer relation of three-way semi-concept lattices, and propose a method of rule acquisition for three-way semi-concept lattices. The authors also discuss the set of decision rules and the relationships of decision rules among object-induced three-way semi-concept lattices, object-induced three-way concept lattices, classical concept lattices and semi-concept lattices. Finally, examples are provided to illustrate the validity of our conclusions.