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Soft intersection near-rings with its applications

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Abstract

In this paper, we first define soft intersection near-ring (soft int near-ring) by using intersection operation of sets. This new notion can be regarded as a bridge among soft set theory, set theory and near-ring theory, since it shows how a soft set effects on a near-ring structure by means of intersection and inclusion of sets. We then derive its basic properties with illustrative examples. Moreover, we obtain some analog of classical near-ring theoretic concepts for soft int near-ring and give the applications of soft int near-ring to near-ring theory.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Arts and Science, Amasya University, 05100, Amasya, Turkey

    Aslıhan Sezgin

  2. Department of Mathematics, Faculty of Arts and Science, Bozok University, 66100, Yozgat, Turkey

    Akın Osman Atagün

  3. Department of Mathematics, Faculty of Arts and Sciences, Gaziosmanpaşa University, 60250, Tokat, Turkey

    Naim Çağman

Authors
  1. Aslıhan Sezgin
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  2. Akın Osman Atagün
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  3. Naim Çağman
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Correspondence to Aslıhan Sezgin.

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Sezgin, A., Atagün, A.O. & Çağman, N. Soft intersection near-rings with its applications. Neural Comput & Applic 21 (Suppl 1), 221–229 (2012). https://doi.org/10.1007/s00521-011-0782-4

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  • DOI: https://doi.org/10.1007/s00521-011-0782-4

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