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A New Subsystem-Based Definition of Generalized Rough Set Model

  • Caihui LiuEmail author
  • Meizhi Wang
  • Yanfei Dai
  • Yueli Luo
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9437)

Abstract

The generalization of Pawlak rough set model always attracts the attentions of the researchers in the rough set society. In this paper, we propose a new subsystem-based definition of generalized rough set model and disclose the corresponding properties. We also discuss the interrelationships between our definition and the existing ones, the outputs show that our definition is effective and reasonable.

Keywords

Binary relation Generalized rough set Lower and upper approximations \(\sigma \)-algebra 

Notes

Acknowledgements

This work was supported by the China National Natural Science Foundation of Youth Science Foundation under Grant No.: 61305052, 61403329, the State Scholarship Fund of China (File No. 201409865003), the Key Technology Research and Development Program of Education Bureau of Jiangxi Province of China under Grant No.: GJJ14660, the Key Technology Research and Development Program of Jiangxi Province of China under Grant No.: 20142BBF60010, 20151BBF60071.

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Authors and Affiliations

  • Caihui Liu
    • 1
    • 2
    Email author
  • Meizhi Wang
    • 3
  • Yanfei Dai
    • 1
  • Yueli Luo
    • 1
  1. 1.Department of Mathematics and Computer ScienceGannan Normal UniversityGanzhouPeople’s Republic of China
  2. 2.Department of Electrical and Computer EngineeringUniversity of AlbertaEdmontonCanada
  3. 3.Department of Physical EducationGannan Normal UniversityGanzhouChina

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