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Soft int-group and its applications to group theory

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 b...

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Bibliographic Details
Published in:Neural computing & applications 2012-08, Vol.21 (Suppl 1), p.151-158
Main Authors: Çağman, Naim, Çıtak, Filiz, Aktaş, Hacı
Format: Article
Language:English
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Summary: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.
ISSN:0941-0643
1433-3058
DOI:10.1007/s00521-011-0752-x