Nobusawa gamma nearness semirings

Ozturk M. A., Yazarli H.

New Mathematics and Natural Computation, cilt.17, ss.571-588, 2021 (ESCI) identifier identifier

  • 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.