1. Nobusawa Gamma Nearness Semirings.
- Author
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Öztürk, Mehmet Ali and Yazarli, Hasret
- Subjects
- *
SEMIRINGS (Mathematics) , *FUZZY mathematics , *RING theory , *ROUGH sets , *HISTORICAL source material , *GENERALIZATION - 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 Mathematics1 (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 Informatics17(2) (2019) 115–132]. Also, we introduce some properties of approximations and their algebraic structures. [ABSTRACT FROM AUTHOR]
- Published
- 2021
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