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A new characterization of fuzzy n-ary polygroups

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Abstract

In this paper, we introduce the notion of \((\in,\in\vee\,q_k)\)-fuzzy n-ary subpolygroup and \((\overline\in,\overline \in\vee \overline q_k)\)-fuzzy n-ary subpolygroup, which are generalization of \((\in,\in\vee\,q)\)-fuzzy n-ary subpolygroup and \((\overline \in ,\overline \in\vee \overline q)\)-fuzzy n-ary subpolygroup of an n-ary polygroup. In particular, the notions of \((\in,\in\vee\,q_k)\)-fuzzy cosets determined by \((\in,\in\vee\,q_k)\)-fuzzy n-ary subplygroups are discussed.

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Acknowledgments

The authors are highly grateful to referees and Professor John Maclntyre, Editor-in-Chief, for their valuable comments and suggestions for improving the paper.

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Authors and Affiliations

  1. Department of Mathematics, Karadeniz Technical University, 61080, Trabzon, Turkey

    O. Kazancı & S. Yamak

  2. Department of Mathematics, Yazd University, Yazd, Iran

    B. Davvaz

Authors
  1. O. Kazancı
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  2. B. Davvaz
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  3. S. Yamak
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Correspondence to O. Kazancı.

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Kazancı, O., Davvaz, B. & Yamak, S. A new characterization of fuzzy n-ary polygroups. Neural Comput & Applic 21 (Suppl 1), 59–68 (2012). https://doi.org/10.1007/s00521-011-0592-8

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  • DOI: https://doi.org/10.1007/s00521-011-0592-8

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