Soft int-group and its applications to group theory

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Cagman N., Citak F., Aktas H.

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

• 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
• 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.