Work

Three-Valued Concept Analysis for 2R Formal Contexts

Year: 2024

Type: article

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.

Source: Mathematics

DOI: 10.3390/math12193015

Authors: Taisheng Zeng, Huilai Zhi, Yinan Li, Daxin Zhu, Jianbing Xiahou

Institutions: Quanzhou Normal University, Central South University

Language: English

Topic: Rough Sets and Fuzzy Logic

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,955

Funders: Natural Science Foundation of Fujian Province, Science and Technology Bureau of Quanzhou