Three-Valued Concept Analysis for 2 R Formal Contexts

Taisheng Zeng, Huilai Zhi (), Yinan Li, Daxin Zhu and Jianbing Xiahou
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Taisheng Zeng: Faculty of Mathematics and Computer Science, Quanzhou Normal University, Quanzhou 362000, China
Huilai Zhi: Faculty of Mathematics and Computer Science, Quanzhou Normal University, Quanzhou 362000, China
Yinan Li: Big Data Institute, Central South University, Changsha 410075, China
Daxin Zhu: Faculty of Mathematics and Computer Science, Quanzhou Normal University, Quanzhou 362000, China
Jianbing Xiahou: Faculty of Mathematics and Computer Science, Quanzhou Normal University, Quanzhou 362000, China

Mathematics, 2024, vol. 12, issue 19, 1-17

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 2 R formal context to model Russian Roulette and carry out 3-valued concept analysis for 2 R formal contexts to mine useful information. At first, the uniqueness of 2 R formal contexts is discussed from a formal concept analysis viewpoint. And then we propose 3-valued 2 R concepts and discuss their properties and the connections with the basic 2 R concepts. Experimental analysis demonstrates that 3-valued 2 R concept lattices can show many more different details compared with basic 2 R 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 (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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