Araştırma Makalesi

Rough Approximation Operators in a Topological Ring

Cilt: 13 Sayı: 1 20 Mart 2020
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Rough Approximation Operators in a Topological Ring

Öz

The goal of this article is to examine the concept of topological ring from the perspective of the rough set theory and to introduce the  approximation operators in a topological ring with respect to its ideal. Moreover, the definitions of lower topological rough subring and upper topological rough subring are presented. After that, the notion of topological rough ring is described and some related properties are studied.

Anahtar Kelimeler

Kaynakça

  1. Pawlak, Z. 1982. Rough sets. Int. J. Comput. Inform. Sci., 11: 341-356.
  2. Zadeh, L. A. 1965. Fuzzy sets. Inform. Control. 8: 338-353.
  3. Molodtsov, D. A.1999. Soft set theory-First results. Comput. Math. Appl. 37:19-31.
  4. Wiweger, R. 1989. On Topological Rough Sets. Bull. Pol. Ac. Math.37: 89-93.
  5. Biswas, R, Nanda S.1994. Rough groups and rough subgroups. Bull. Pol. Acad. Sci. Math. 42: 251-254.
  6. Bagirmaz, N, Icen, I, Ozcan, A.F. 2016.Topological Rough Groups. Topol. Algebra Appl. .4: 31-38.
  7. Kuroki, N, Mordeson, J.N.1997. Structure of rough sets and rough groups. J. Fuzzy Math. 5:183-191.
  8. Davvaz, B. 2004. Roughness in rings. Inform. Sci; 164: 147-163.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Mühendislik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

20 Mart 2020

Gönderilme Tarihi

8 Kasım 2019

Kabul Tarihi

20 Şubat 2020

Yayımlandığı Sayı

Yıl 2020 Cilt: 13 Sayı: 1

Kaynak Göster

APA
Oğuz, G. (2020). Rough Approximation Operators in a Topological Ring. Erzincan University Journal of Science and Technology, 13(1), 144-151. https://doi.org/10.18185/erzifbed.644343
AMA
1.Oğuz G. Rough Approximation Operators in a Topological Ring. Erzincan University Journal of Science and Technology. 2020;13(1):144-151. doi:10.18185/erzifbed.644343
Chicago
Oğuz, Gülay. 2020. “Rough Approximation Operators in a Topological Ring”. Erzincan University Journal of Science and Technology 13 (1): 144-51. https://doi.org/10.18185/erzifbed.644343.
EndNote
Oğuz G (01 Mart 2020) Rough Approximation Operators in a Topological Ring. Erzincan University Journal of Science and Technology 13 1 144–151.
IEEE
[1]G. Oğuz, “Rough Approximation Operators in a Topological Ring”, Erzincan University Journal of Science and Technology, c. 13, sy 1, ss. 144–151, Mar. 2020, doi: 10.18185/erzifbed.644343.
ISNAD
Oğuz, Gülay. “Rough Approximation Operators in a Topological Ring”. Erzincan University Journal of Science and Technology 13/1 (01 Mart 2020): 144-151. https://doi.org/10.18185/erzifbed.644343.
JAMA
1.Oğuz G. Rough Approximation Operators in a Topological Ring. Erzincan University Journal of Science and Technology. 2020;13:144–151.
MLA
Oğuz, Gülay. “Rough Approximation Operators in a Topological Ring”. Erzincan University Journal of Science and Technology, c. 13, sy 1, Mart 2020, ss. 144-51, doi:10.18185/erzifbed.644343.
Vancouver
1.Gülay Oğuz. Rough Approximation Operators in a Topological Ring. Erzincan University Journal of Science and Technology. 01 Mart 2020;13(1):144-51. doi:10.18185/erzifbed.644343