Union soft substructures of near-rings and N-groups

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

NEURAL COMPUTING & APPLICATIONS, cilt.21, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 21
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1007/s00521-011-0732-1
  • Dergi Adı: NEURAL COMPUTING & APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Yozgat Bozok Üniversitesi Adresli: Evet

Özet

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.