The lower and upper approximations in a multiplicative set

Article type: Research Article

Authors: Tarsuslu(Yılmaz), Sinem | Çuvalcıoğlu, Gökhan^{; *} | Demirbaş, Emine

Affiliations: Department of Mathematics, University of Mersin, Mersin, Turkey

Correspondence: [*] Corresponding author. Gökhan Çuvalcıoğlu, Department of Mathematics, University of Mersin, Mersin, Turkey. E-mail: [email protected].

Abstract: Let S be a multiplicative subset of a commutative ring R. We considered a R × S as a universal and introduced the notion of lower[upper] approximations in a R × S . Also, we gave some properties of the lower[upper] approximations in a R × S . We obtained some properties of rough ideals

Keywords: Rough set, multiplicative set, fuzzy ideal, approximation space

DOI: 10.3233/JIFS-17198

Journal: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 6, pp. 3561-3567, 2017