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Article type: Research Article
Authors: Hu, Qiana; * | Qin, Ke-Yunb
Affiliations: [a] School of Information Science and Technology, Southwest Jiaotong University, Chengdu, Sichuan, China | [b] School of Mathematics, Southwest Jiaotong University, Chengdu, Sichuan, China
Correspondence: [*] Corresponding author. Qian Hu, School of Information Science and Technology, Southwest Jiaotong University, Chengdu, Sichuan, 610031, China. E-mail: 15227193972@163.com.
Abstract: The construction of concept lattices is an important research topic in formal concept analysis. Inspired by multi-granularity rough sets, multi-granularity formal concept analysis has become a new hot research issue. This paper mainly studies the construction methods of concept lattices in multi-granularity formal context. The relationships between concept forming operators under different granularity are discussed. The mutual transformation methods of formal concepts under different granularity are presented. In addition, the approaches of obtaining coarse-granularity concept lattice by fine-granularity concept lattice and fine-granularity concept lattice by coarse-granularity concept lattice are examined. The related algorithms for generating concept lattices are proposed. The practicability of the method is illustrated by an example.
Keywords: Multi-granularity, formal concept analysis, formal concept, formal concept lattice
DOI: 10.3233/JIFS-191090
Journal: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 3, pp. 2783-2790, 2020
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