Research Article

DIRECT PRODUCTS OF ROUGH SUBGROUPS

Volume: 20 Number: 3 September 26, 2019
Nurettin Bağırmaz *
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Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering Cover Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering
EN

DIRECT PRODUCTS OF ROUGH SUBGROUPS

Abstract

In this study, we have defined the concepts of direct products of the rough approximations and rough subgroups in a group. We have given some basic features about the subject described in the present article and we have also examined the homomorphic images of these structures.


Keywords

Rough sets,rough group,rough subgroup,direct product.

References

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  5. [5] Bonikowski Z. Algebraic structures of rough sets, in: W.P. Ziarko (Ed.), Rough Sets, Fuzzy Sets and Knowledge Discovery, Springer-Verlag, Berlin, 1995, pp. 242-247.
  6. [6] Iwinski T. Algebraic approach to rough sets, Bull Polish Acad Sci Math 1987; 35: 673-683.
  7. [7] Pomykala J, Pomykala J. A. The stone algebra of rough sets, Bull Polish Acad Sci Math 1998 ; 36: 495-508.
  8. [8] Kuroki N, Wang P. P. The lower and upper approximations in a fuzzy group, Inform Sci 1996; 90: 203-220.
  9. [9] Bağırmaz N, Özcan A F, İçen İ. Rough Approximations in a Topological Group, Gen Math Notes 2016; 36(2): 1-18.
  10. [10] Cheng W, Mo Z, Wang J. Notes on "the lower and upper approximations in a fuzzy group" and "rough ideals in semigroups", Inform Sci 2007; 177: 5134-5140.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Publication Date

September 26, 2019

Submission Date

January 5, 2019

Acceptance Date

August 27, 2019

Published in Issue

Year 2019 Volume: 20 Number: 3

DOI

https://doi.org/10.18038/estubtda.508774

IZ

https://izlik.org/JA99CS33MU

Cite

RIS / Bibtex
APA
Bağırmaz, N. (2019). DIRECT PRODUCTS OF ROUGH SUBGROUPS. Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering, 20(3), 307-316. https://doi.org/10.18038/estubtda.508774
AMA
1.Bağırmaz N. DIRECT PRODUCTS OF ROUGH SUBGROUPS. Estuscience - Se. 2019;20(3):307-316. doi:10.18038/estubtda.508774
Chicago
Bağırmaz, Nurettin. 2019. “DIRECT PRODUCTS OF ROUGH SUBGROUPS”. Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering 20 (3): 307-16. https://doi.org/10.18038/estubtda.508774.
EndNote
Bağırmaz N (September 1, 2019) DIRECT PRODUCTS OF ROUGH SUBGROUPS. Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering 20 3 307–316.
IEEE
[1]N. Bağırmaz, “DIRECT PRODUCTS OF ROUGH SUBGROUPS”, Estuscience - Se, vol. 20, no. 3, pp. 307–316, Sept. 2019, doi: 10.18038/estubtda.508774.
ISNAD
Bağırmaz, Nurettin. “DIRECT PRODUCTS OF ROUGH SUBGROUPS”. Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering 20/3 (September 1, 2019): 307-316. https://doi.org/10.18038/estubtda.508774.
JAMA
1.Bağırmaz N. DIRECT PRODUCTS OF ROUGH SUBGROUPS. Estuscience - Se. 2019;20:307–316.
MLA
Bağırmaz, Nurettin. “DIRECT PRODUCTS OF ROUGH SUBGROUPS”. Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering, vol. 20, no. 3, Sept. 2019, pp. 307-16, doi:10.18038/estubtda.508774.
Vancouver
1.Nurettin Bağırmaz. DIRECT PRODUCTS OF ROUGH SUBGROUPS. Estuscience - Se. 2019 Sep. 1;20(3):307-16. doi:10.18038/estubtda.508774