Bağırmaz N.14.07.20192019-07-1614.07.20192019-07-1620180938-1279https://dx.doi.org/10.1007/s00200-018-0373-zhttps://hdl.handle.net/20.500.12514/1133In this paper, we firstly introduce the notion of a near approximations in a group, which is an extended notion of a rough approximations in a group. Then we define lower and upper near subgroups based on normal subgroups in a group and give some properties of such subgroups. Furthermore, we obtain a comparison between these types of approximations and the approximation introduced by Kuroki and Wang (Inf Sci 90:203–220, 1996). © 2018, Springer-Verlag GmbH Germany, part of Springer Nature.en10.1007/s00200-018-0373-zinfo:eu-repo/semantics/closedAccessNear approximationsNear setsNear subgroupsRough setsArticleQ4Q3WOS:0004755177000022-s2.0-85056309792