Soft intersection near-rings with its applications


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/s00521-011-0782-4
  • Title of Journal : NEURAL COMPUTING & APPLICATIONS

Abstract

In this paper, we first define soft intersection near-ring (soft int near-ring) by using intersection operation of sets. This new notion can be regarded as a bridge among soft set theory, set theory and near-ring theory, since it shows how a soft set effects on a near-ring structure by means of intersection and inclusion of sets. We then derive its basic properties with illustrative examples. Moreover, we obtain some analog of classical near-ring theoretic concepts for soft int near-ring and give the applications of soft int near-ring to near-ring theory.