Affiliations: [a] Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei Province, China
| [b] Faculty of Mathematics, University “Alexandru Ioan Cuza”, Iasi, Romania
Correspondence:
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Corresponding author. Xueling Ma, Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei Province 445000, China. Tel.: +86 0718 8437732; E-mail: zjmhbmy@126.com.
Abstract: If I is a normal hyperideal of a hyperring R, then an equivalence relation on R can be defined as follows: ≡I by x ≡ Iy if and only if x - y∩ I ≠ ∅. Hence a normal hyperideal of a hyperring is acted as an equivalence relation. In this paper we introduce a kind of novel rough soft hyperrings with respect to a normal hyperideal of a hyperring, in Pawlak approximation spaces. Some new operations of lower and upper rough soft hyperrings are studied. In particular, lower and upper rough soft hyperideals with respect to a normal hyperideal are investigated, respectively. Some good examples are also given. Finally, we propose a novel kind of decision making method to rough soft hyperrings.
Keywords: Hyperring, (normal) hyperideal, rough soft hyperring (hyperideal), decision making
