Nobusawa gamma nearness semirings
New Mathematics and Natural Computation, cilt.17, ss.571-588, 2021 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 17
- Basım Tarihi: 2021
- Doi Numarası: 10.1142/s1793005721500289
- Dergi Adı: New Mathematics and Natural Computation
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
- Sayfa Sayıları: ss.571-588
- Anahtar Kelimeler: Rough sets, near sets, nearness approximation spaces, weak nearness approximation spaces, nearness semigroups, Gamma nearness semigroups, Gamma nearness rings, Gamma nearness semirings, IDEALS, SETS
- Sivas Cumhuriyet Üniversitesi Adresli: Evet
Özet
© 2021 World Scientific Publishing Company.In this study, we investigate the problem of how to define Γ-nearness semiring in the sense of Nobusawa theory which extends the notion of a nearness rings, nearness semirings and Γ-rings [N. Nobusawa, On a generalization of the ring theory, Osaka Journal of Mathematics 1 (1964) 81-89; M. A. Öztürk, Semirings on weak nearness approximation spaces, Annals of Fuzzy Mathematics and Informatics15(3) (2018) 227-241; M. A. Öztürk and E. İnan, Nearness rings, Annals of Fuzzy Mathematics and Informatics 17(2) (2019) 115-132]. Also, we introduce some properties of approximations and their algebraic structures.