Three-way concepts in the interval-valued formal contexts

Article type: Research Article

Authors: Zhao, RongLe | Tang, Xiao^{; *}

Affiliations: College of Mathematics, Sichuan Normal University, Chengdu, Sichuan, PR China

Correspondence: [*] Corresponding author. Xiao Tang. E-mail: tang2077@sicnu.edu.cn.

Abstract:  The theory of interval-valued formal contexts was originally derived from fuzzy formal contexts. While the fuzzy formal context can extract information from fuzzy formal contexts more precisely, it lacks theoretical analysis of formal contexts with interval-valued data types. This paper incorporates the three-way concept into interval-valued formal contexts, and partitions the interval value range of objects and attributes into three regions utilizing the notion of three-way decisions. On the basis of interval-valued information granules, the concepts of negative operators and interval-valued three-way concepts are proposed. They can conduct profounder knowledge discovery in interval-valued formal contexts, and a generation algorithm of interval-valued three-way concepts is devised. Finally, the effectiveness of the algorithm is substantiated through experimentation

Keywords: Three-way decision model, formal concept analysis, interval-valued, three-way concept, granular computing

DOI: 10.3233/JIFS-236146

Journal: Journal of Intelligent & Fuzzy Systems, vol. 46, no. 3, pp. 7173-7184, 2024