Gamma nearness near rings

被引：0

作者：

Tekin Ö. ^{[1
]}

机构：

[1] Department of Mathematics, Faculty of Arts and Sciences, Adıyaman University, Adıyaman

来源：

Afrika Matematika | 2022年 / 33卷 / 3期

关键词：

Gamma nearness near-ring; Gamma-near-ring; Near rings; Near-ring; Nearness approximation space; Nearness near-ring; Weak nearness approximation space;

D O I：

10.1007/s13370-022-01024-6

中图分类号：

学科分类号：

摘要：

In this article, we define the notion of Γ -near-rings on weak nearness approximation spaces and explain some of the concepts and definitions. Then, we study some basic properties of Γ -nearness near-rings. Γ -nearness near-rings are different from Γ -nearness rings and Γ -nearness semirings because the set of Γ does not have to be grouped in Γ -nearness near-rings. Because of this, some properties defined in Γ -nearness rings and Γ -nearness semirings show some changes in Γ -nearness near-rings. © 2022, African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature.

引用

共 26 条

[11]

Ozturk M.A., Tekin O., Gamma nearness hemirings, Afr. Math., 32, 7, pp. 1491-1502, (2021)

[12]

Ozturk M.A., Temur I., Prime ideals of nearness semirings, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., 68, 2, pp. 1867-1878, (2019)

[13]

Ozturk M.A., Yazarli H., Nobusawa gamma nearness semirings, New Math. Nat. Comput., 17, 3, pp. 571-588, (2021)

[14]

Ozturk M.A., Jun Y.B., Iz A., Gamma semigroups on weak nearness approximation spaces, J. Int. Math. Virtual Inst., 9, 1, pp. 53-72, (2019)

[15]

Pawlak Z., Rough sets, Int. J. Comput. Inform. Sci., 11, 5, pp. 341-356, (1982)

[16]

Peters J.F., Near sets: general theory about nearness of objects, Appl. Math. Sci., 1, 53-56, pp. 2609-2629, (2007)

[17]

Peters J.F., Near sets: special theory about nearness of objects, Fund. Inform., 75, 1-4, pp. 407-433, (2007)

[18]

Peters J.F., Classification of perceptual objects by means of features, Int. J. Info. Technol. Intell. Comput., 3, 2, pp. 1-35, (2008)

[19]

Pilz G., Near-Rings, (1983)

[20]

Satyanarayana B., A note on G-near-rings, Indian J. Math., 41, pp. 427-433, (1999)

← 1 2 3 →