Neural Computing and Applications

, Volume 21, Supplement 1, pp 151–158 | Cite as

Soft int-group and its applications to group theory

Original Article

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.

Keywords

Soft sets Soft int-group Soft int-subgroup normal soft int-subgroup α-inclusion 

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Copyright information

© Springer-Verlag London Limited 2011

Authors and Affiliations

  1. 1.Department of MathematicsGaziosmanpaşa UniversityTokatTurkey
  2. 2.Department of MathematicsNevşehir UniversityNevşehirTurkey

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