Variable precision rough set model over two universes and its properties

Authors:
Yonghong Shen;Faxing Wang
Affiliations:
Tianshui Normal University, School of Mathematics and Statistics, 741001, Tianshui, People’s Republic of China;Tongda College of Nanjing University of Posts and Telecommunications, 210046, Nanjing, People’s Republic of China
Venue:
Soft Computing - A Fusion of Foundations, Methodologies and Applications - Special issue on Digital Information Forensics
Year:
2011

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Abstract

The extension of rough set model is an important research direction in the rough set theory. In this paper, based on the rough set model over two universes, we firstly propose the variable precision rough set model (VPRS-model) over two universes using the inclsion degree. Meantime, the concepts of the reverse lower and upper approximation operators are presented. Afterwards, the properties of the approximation operators are studied. Finally, the approximation operators with two parameters are introduced as a generalization of the VPRS-model over two universes, and the related conclusions are discussed.