A comparative study of multigranulation rough sets and concept lattices via rule acquisition

Recently, by combining rough set theory with granular computing, pessimistic and optimistic multigranulation rough sets have been proposed to derive “AND” and “OR” decision rules from decision systems. At the same time, by integrating granular computing and formal concept analysis, Wille’s concept lattice and object-oriented concept lattice were used to obtain granular rules and disjunctive rules from formal decision contexts. So, the problem of rule acquisition can bring rough set theory, granular computing and formal concept analysis together. In this study, to shed some light on the comparison and combination of rough set theory, granular computing and formal concept analysis, we investigate the relationship between multigranulation rough sets and concept lattices via rule acquisition. Some interesting results are obtained in this paper: 1) “AND” decision rules in pessimistic multigranulation rough sets are proved to be granular rules in concept lattices, but the inve...

• Type: Journal
• Year: 2016
• Where: KBS
• Authors: Jinhai Li, Yue Ren, Changlin Mei, Yuhua Qian, Xibei Yang
• Keywords: KBS 2016