Three-Valued Concept Analysis for 2<i>R</i> Formal Contexts

Abstract

Russian Roulette is a well-known cruel gambling game and its concepts and methods have been exploited in a lot of research fields for decades. However, abundant useful information contained in the process of Russian Roulette is seldom studied with a mathematical model with interpretability. To this end, we define the 2R formal context to model Russian Roulette and carry out 3-valued concept analysis for 2R formal contexts to mine useful information. At first, the uniqueness of 2R formal contexts is discussed from a formal concept analysis viewpoint. And then we propose 3-valued 2R concepts and discuss their properties and the connections with the basic 2R concepts. Experimental analysis demonstrates that 3-valued 2R concept lattices can show many more different details compared with basic 2R concept lattices. Finally, a case study about a Chinese herbal medicine is introduced to demonstrate the feasibility of the proposed model.

Keywords

• formal concept analysis
• concept lattice
• 3-valued formal context
• 2R formal context