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Variable precision rough set model over two universes and its properties

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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.

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Acknowledgments

The authors would like to express their sincere thanks to the reviewers for the valuable comments and recommendations. This work is supported by Scientific Research Foundation of Tianshui Normal University (No.TSA0940).

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Authors and Affiliations

  1. School of Mathematics and Statistics, Tianshui Normal University, Tianshui, 741001, People’s Republic of China

    Yonghong Shen

  2. Tongda College of Nanjing University of Posts and Telecommunications, Nanjing, 210046, People’s Republic of China

    Faxing Wang

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  1. Yonghong Shen
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  2. Faxing Wang
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Correspondence to Yonghong Shen.

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Shen, Y., Wang, F. Variable precision rough set model over two universes and its properties. Soft Comput 15, 557–567 (2011). https://doi.org/10.1007/s00500-010-0562-6

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