Three-Valued Concept Analysis for 2R Formal Contexts

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.

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Publication Details

Journal
Mathematics
Published
2024-09-27
DOI
https://doi.org/10.3390/math12193015
Primary Topic
Rough Sets and Fuzzy Logic
Type
article
Field-Weighted Citation Impact
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article

Three-Valued Concept Analysis for 2R Formal Contexts

Jianbing Xiahou, Taisheng Zeng, Daxin Zhu, Yinan Li et al.
Mathematics
Rough Sets and Fuzzy Logic
article

Three-Valued Concept Analysis for 2R Formal Contexts

Jianbing Xiahou, Taisheng Zeng, Daxin Zhu, Yinan Li, Huilai Zhi
article en

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.

MathematicsVol. 12(19)
Central South University (CN), Quanzhou Normal University (CN)
Openalex Percentile: Top 80%
Rough Sets and Fuzzy Logic
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