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Three-Valued Concept Analysis for 2 R Formal Contexts

Author

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  • Taisheng Zeng

    (Faculty of Mathematics and Computer Science, Quanzhou Normal University, Quanzhou 362000, China
    Fujian Provincial Key Laboratory of Data-Intensive Computing, Quanzhou 362000, China
    Fujian University Laboratory of Intelligent Computing and Information Processing, Quanzhou 362000, China)

  • Huilai Zhi

    (Faculty of Mathematics and Computer Science, Quanzhou Normal University, Quanzhou 362000, China
    Fujian Provincial Key Laboratory of Data-Intensive Computing, Quanzhou 362000, China
    Fujian University Laboratory of Intelligent Computing and Information Processing, 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
    Fujian Provincial Key Laboratory of Data-Intensive Computing, Quanzhou 362000, China
    Fujian University Laboratory of Intelligent Computing and Information Processing, Quanzhou 362000, China)

  • Jianbing Xiahou

    (Faculty of Mathematics and Computer Science, Quanzhou Normal University, Quanzhou 362000, China
    Fujian Provincial Key Laboratory of Data-Intensive Computing, Quanzhou 362000, China
    Fujian University Laboratory of Intelligent Computing and Information Processing, Quanzhou 362000, China)

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.

Suggested Citation

  • Taisheng Zeng & Huilai Zhi & Yinan Li & Daxin Zhu & Jianbing Xiahou, 2024. "Three-Valued Concept Analysis for 2 R Formal Contexts," Mathematics, MDPI, vol. 12(19), pages 1-17, September.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:19:p:3015-:d:1487073
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    References listed on IDEAS

    as
    1. Fra̧ckiewicz, Piotr & Schmidt, Alexandre G.M., 2014. "N-person quantum Russian roulette," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 401(C), pages 8-14.
    2. Junhua Hu & Dan Chen & Pei Liang, 2019. "A Novel Interval Three-Way Concept Lattice Model with Its Application in Medical Diagnosis," Mathematics, MDPI, vol. 7(1), pages 1-14, January.
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