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On rough approximations of groups

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Abstract

It is one of useful methods for research of group theory to construct a new group by using known groups. Lower and upper approximation operators of rough sets are applied into group theory and so the notion of rough group has been introduced. In this paper, we further study the properties of rough groups and examine relationships between subgroups and their rough approximations and relationships between a normal series of a group and its rough approximations.

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Acknowledgments

This research is supported by Natural Science of Foundation of China (Grant No. 61070242). This research is also supported by the natural science foundation of Hebei Province (F2012201023), Shenzhen Key Laboratory for High Performance Data Mining with Shenzhen New Industry Development Fund under grant No. CXB201005250021A, and Scientific Research Project of Hebei University (09265631D-2).

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Authors and Affiliations

  1. Department of Mathematics, Bohai University, Jinzhou, 121000, People’s Republic of China

    Changzhong Wang

  2. Department of Mathematics and Physics, North China Electric Power University, Beijing, 102206, People’s Republic of China

    Degang Chen

  3. Power Engineering, Harbin Institute of Technology, Harbin, 150001, People’s Republic of China

    Qinghua Hu

Authors
  1. Changzhong Wang
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  2. Degang Chen
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  3. Qinghua Hu
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Correspondence to Changzhong Wang.

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Wang, C., Chen, D. & Hu, Q. On rough approximations of groups. Int. J. Mach. Learn. & Cyber. 4, 445–449 (2013). https://doi.org/10.1007/s13042-012-0108-6

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  • DOI: https://doi.org/10.1007/s13042-012-0108-6

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