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Mehmet Ali Ozturk,Ebubekir Inan 원광대학교 기초자연과학연구소 2019 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.17 No.2
In this paper, we consider the problem of how to establish algebraic structures on nearness approximation spaces. Essentially, our approach is to define the nearness ring, nearness ideal and nearness ring of all weak cosets by considering new operations on the set of all weak cosets. Afterwards, our aim is to study homomorphism on nearness approximation spaces, and to investigate some properties of nearness rings and ideals.
Soft $\Gamma$-rings and idealistic soft $\Gamma$-rings
Mehmet Ali Ozturk,Ebubekir Inan 원광대학교 기초자연과학연구소 2011 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.1 No.1
Soft set theory has a rich potential for applications in several directions. In this paper, we introduce soft $\Gamma$-rings, soft ideals, and idealistic soft $\Gamma$-rings. We study some of their basic properties and give several illustrative examples.