Molodtsov introduced the theory of soft sets, which can be seen as an
effective mathematical tool to deal with uncertainties, since it is free from
the difficulties that the usual theoretical approaches have troubled. In this
paper, we apply the definitions proposed by Ali et al. [M. I. Ali, F. Feng,
X. Liu, W. K. Min and M. Shabir, On some new operations in soft set theory,
Comput. Math. Appl. 57 (2009), 1547-1553] to the concept of soft near- rings
and substructures of soft near-rings, proposed by Atag?n and Sezgin [A. O.
Atag?n and A. Sezgin, Soft Near-rings, submitted] and show them with
illustrating examples. Moreover, we investigate the properties of idealistic
soft near-rings with respect to the near-ring mappings and we show that the
structure is preserved under the near-ring epimorphisms. Main purpose of this
paper is to extend the study of soft near-rings from a theoretical aspect.