Abstract:
In this paper, we consider the problem of how to define Gamma-nearness ring in the sense of Nobusawa theory which extends the notion of a nearness ring and Gamma-rings [N. Nobusawa, Osaka J. Math. 1 (1964) 81-89; M. A. Ozturk and E. Inan, Annals of Fuzzy Mathematics and Informatics 17(2) (2019) 115-131]. Also, we introduce some properties of approximations and these algebraic structures.