Soft int-group and its applications to group theory
NEURAL COMPUTING & APPLICATIONS, vol.21, 2012 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 21
- Publication Date: 2012
- Doi Number: 10.1007/s00521-011-0752-x
- Journal Name: NEURAL COMPUTING & APPLICATIONS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Keywords: Soft sets, Soft int-group, Soft int-subgroup normal soft int-subgroup, alpha-inclusion
- Erciyes University Affiliated: No
Abstract
In this paper, we define a soft intersection group (soft int-group) on a soft set. This new concept functions as a bridge among soft set theory, set theory and group theory and shows the effect of soft sets on a group structure in the sense of intersection and inclusion of sets. We then derive the basic properties of soft int-groups and give its applications to group theory.