Nobusawa Gamma Nearness Rings

Mehmet Ali Öztürk and Young Bae Jun ()
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Mehmet Ali Öztürk: Department of Mathematics, Faculty of Arts and Sciences, Adıyaman University, 02040/Adıyaman, Turkey
Young Bae Jun: Department of Mathematics Education, Gyeongsang National University, 52828/Jinju, Republic of Korea

New Mathematics and Natural Computation (NMNC), 2019, vol. 15, issue 02, 373-394

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

Keywords: Rough sets; near sets; nearness approximation spaces; weak nearness approximation spaces; nearness semigroups; gamma nearness semigroups; gamma nearness rings (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1142/S1793005719500212

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