title: Rough set approach to incomplete multiscale information system.
abstract: Multiscale information system is a new knowledge representation system for expressing the knowledge with different levels of granulations. In this paper, by considering the unknown values, which can be seen everywhere in real world applications, the incomplete multiscale information system is firstly investigated. The descriptor technique is employed to construct rough sets at different scales for analyzing the hierarchically structured data. The problem of unravelling decision rules at different scales is also addressed. Finally, the reduct descriptors are formulated to simplify decision rules, which can be derived from different scales. Some numerical examples are employed to substantiate the conceptual arguments.
authors.affiliation: School of Economics and Management, Nanjing University of Science and Technology, Nanjing 210094, China ; School of Computer Science and Engineering, Jiangsu University of Science and Technology, Zhenjiang 212003, China ; Key Laboratory of Intelligent Perception and Systems for High-Dimensional Information, Nanjing University of Science and Technology, Nanjing 210094, China.
authors.forename: Xibei
authors.initials: X
authors.lastname: Yang
authors.affiliation: School of Economics and Management, Nanjing University of Science and Technology, Nanjing 210094, China.
authors.forename: Yong
authors.initials: Y
authors.lastname: Qi
authors.affiliation: Key Laboratory of Intelligent Perception and Systems for High-Dimensional Information, Nanjing University of Science and Technology, Nanjing 210094, China.
authors.forename: Dongjun
authors.initials: D
authors.lastname: Yu
authors.affiliation: School of Computer Science and Engineering, Jiangsu University of Science and Technology, Zhenjiang 212003, China.
authors.forename: Hualong
authors.initials: H
authors.lastname: Yu
authors.affiliation: School of Computer Science and Engineering, Jiangsu University of Science and Technology, Zhenjiang 212003, China.
authors.forename: Xiaoning
authors.initials: X
authors.lastname: Song
authors.affiliation: Key Laboratory of Intelligent Perception and Systems for High-Dimensional Information, Nanjing University of Science and Technology, Nanjing 210094, China.
authors.forename: Jingyu
authors.initials: J
authors.lastname: Yang
mesh_terms: D000465:Algorithms; D003658:Decision Making, Computer-Assisted; D007256:Information Systems / Q000592:standards*; D008962:Models, Theoretical; D015203:Reproducibility of Results