The Implementation of Rough Set on A Group Structure

Authors

  • Ananto Adi Nugraha Universitas Lampung
  • Fitriani Universitas Lampung
  • Muslim Ansori Universitas Lampung
  • Ahmad Faisol Universitas Lampung

DOI:

https://doi.org/10.15642/mantik.2022.8.1.45-52

Keywords:

lower approximation, upper approximation, rough set, rough group, centralizer

Abstract

Let  be a non-empty set and  an equivalence relation on . Then,  is called an approximation space. The equivalence relation on  forms disjoint equivalence classes. If , then we can form a lower approximation and an upper approximation of . If X⊆U, then we can form a lower approximation and an upper approximation of X. In this research, rough group and rough subgroups are constructed in the approximation space  for commutative and non-commutative binary operations.

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Author Biography

Ananto Adi Nugraha, Universitas Lampung

anantoadi4@gmail.com

References

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Published

2022-06-28

How to Cite

Nugraha, A. A., Fitriani, F., Ansori, M., & Faisol, A. (2022). The Implementation of Rough Set on A Group Structure. Jurnal Matematika MANTIK, 8(1), 45–52. https://doi.org/10.15642/mantik.2022.8.1.45-52

Issue

Vol. 8 No. 1 (2022): April - June

Section

Articles

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Copyright (c) 2022 Ananto Adi Nugraha, Fitriani, Muslim Ansori, Ahmad Faisol

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