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Soft int-group and its applications to group theory

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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.

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Acknowledgments

The authors are grateful for financial support from the Research Fund of Gaziosmanpaşa University under grand no: 2011-36.

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Authors and Affiliations

  1. Department of Mathematics, Gaziosmanpaşa University, Tokat, Turkey

    Naim Çağman & Filiz Çıtak

  2. Department of Mathematics, Nevşehir University, Nevşehir, Turkey

    Hacı Aktaş

Authors
  1. Naim Çağman
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  2. Filiz Çıtak
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  3. Hacı Aktaş
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Correspondence to Naim Çağman.

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Çağman, N., Çıtak, F. & Aktaş, H. Soft int-group and its applications to group theory. Neural Comput & Applic 21 (Suppl 1), 151–158 (2012). https://doi.org/10.1007/s00521-011-0752-x

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  • DOI: https://doi.org/10.1007/s00521-011-0752-x

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