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Nobusawa Gamma Nearness Semirings

Author

Listed:
  • Mehmet Ali Öztürk

    (Department of Mathematics, Faculty of Arts and Sciences, Adıyaman University, 02040/Adıyaman, Turkey)

  • Hasret Yazarli

    (Department of Mathematics, Faculty of Sciences, Sivac Cumhuriyet University, 58140 Sivas, Turkey)

Abstract

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.

Suggested Citation

  • Mehmet Ali Öztürk & Hasret Yazarli, 2021. "Nobusawa Gamma Nearness Semirings," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 17(03), pages 571-588, November.
    • Handle: RePEc:wsi:nmncxx:v:17:y:2021:i:03:n:s1793005721500289
    DOI: 10.1142/S1793005721500289
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