Soft normed rings

Springerplus. 2016 Nov 10;5(1):1950. doi: 10.1186/s40064-016-3636-9. eCollection 2016.

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.

Keywords: Normed rings; Soft normed ideal; Soft normed rings; Soft sets.