Union soft substructures of near-rings and N-groups


SEZGİN SEZER A., Atagun A. O. , ÇAĞMAN N.

NEURAL COMPUTING & APPLICATIONS, vol.21, 2012 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 21
  • Publication Date: 2012
  • Doi Number: 10.1007/s00521-011-0732-1
  • Title of Journal : NEURAL COMPUTING & APPLICATIONS

Abstract

In this paper, we introduce union soft subnear-rings and union soft ideals of a near-ring and union soft N-subgroups and union soft N-ideals of an N-group by using Molodtsov's definition of soft sets and investigate their related properties with respect to soft set operations, soft anti-image and lower alpha-inclusion of soft sets. Since these notions show how a soft set affects on substructures of near-rings and N-groups in the mean of union and inclusion of sets, they can be regarded as a bridge among classical sets, soft sets and near-rings. We then obtain significant relation between soft substructures of near-rings and union soft substructures of near-rings, soft substructures of N-groups and union soft substructures of N-groups.