Affiliations: [a] Department of Mathematics, Hebei University, Baoding, China
| [b] Hebei Key Laboratory of Machine Learning and Computational Intelligence, Hebei University, Baoding, China
Abstract: Three-way decisions, as a better way than two-way decisions, has played an important role in many fields. As an extension of formal concept, rough semiconcept constitutes a new approach for data analysis. By now, three-way concept, which combines three-way decisions with formal concept, has been an efficient tool for knowledge representation problems. Hence, we want to further apply three-way decisions to rough semiconcept. In this work, we introduce three-way rough semiconcept by an example, which combines rough semiconcept with the assistant of three-way decisions. After that, we attain the structure of all three-way rough semiconcepts from an algebraic perspective. Furthermore, we give two kinds of approximation operators, which can characterize three-way rough semiconcepts. Finally, we present algorithms for searching three-way rough semiconcepts. An example is to demonstrate the correct and effective of algorithms in this paper.
Keywords: Three-way decisions, semiconcept, rough set, lattice theory
