Soft intersection near-rings with its applications
NEURAL COMPUTING & APPLICATIONS, vol.21, 2012 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 21
- Publication Date: 2012
- Doi Number: 10.1007/s00521-011-0782-4
- Journal Name: NEURAL COMPUTING & APPLICATIONS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Yozgat Bozok University Affiliated: Yes
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.