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
- Pawlak, Z. 1982. Rough sets. Int. J. Comput. Inform. Sci., 11: 341-356.
- Zadeh, L. A. 1965. Fuzzy sets. Inform. Control. 8: 338-353.
- Molodtsov, D. A.1999. Soft set theory-First results. Comput. Math. Appl. 37:19-31.
- Wiweger, R. 1989. On Topological Rough Sets. Bull. Pol. Ac. Math.37: 89-93.
- Biswas, R, Nanda S.1994. Rough groups and rough subgroups. Bull. Pol. Acad. Sci. Math. 42: 251-254.
- Bagirmaz, N, Icen, I, Ozcan, A.F. 2016.Topological Rough Groups. Topol. Algebra Appl. .4: 31-38.
- Kuroki, N, Mordeson, J.N.1997. Structure of rough sets and rough groups. J. Fuzzy Math. 5:183-191.
- Davvaz, B. 2004. Roughness in rings. Inform. Sci; 164: 147-163.
Ayrıntılar
Birincil Dil
İngilizce
Konular
Mühendislik
Bölüm
Araştırma Makalesi
Yazarlar
Gülay Oğuz
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0000-0003-4302-8401
Türkiye
Yayımlanma Tarihi
20 Mart 2020
Gönderilme Tarihi
8 Kasım 2019
Kabul Tarihi
20 Şubat 2020
Yayımlandığı Sayı
Yıl 2020 Cilt: 13 Sayı: 1