title: Soft normed rings.
abstract: Molodtsov introduced the concept of soft sets, which can be seen as a new mathematical tool for dealing with uncertainty. In this paper, we initiate the study of soft normed rings by soft set theory. The notions of soft normed rings, soft normed ideals, soft complete normed rings are introduced and also several related properties and examples are given.
authors.affiliation: Department of Mathematics, Gaziantep University, 27310 Gaziantep, Turkey.
authors.forename: Vakkas
authors.identifier: 0000-0001-5580-7037
authors.initials: V
authors.lastname: Uluçay
authors.affiliation: Department of Mathematics, Gaziantep University, 27310 Gaziantep, Turkey.
authors.forename: Mehmet
authors.initials: M
authors.lastname: Şahin
authors.affiliation: Department of Mathematics, Gaziantep University, 27310 Gaziantep, Turkey.
authors.forename: Necati
authors.initials: N
authors.lastname: Olgun
keywords: Normed rings; Soft normed ideal; Soft normed rings; Soft sets