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Normal fuzzy hyperideals in hypernear-rings

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Abstract

Applying the concept of fuzzy sets to hypernear-rings, Davvaz introduced the notion of a fuzzy hyperideal as early as 1999, and it has been studied by several authors. In this paper, we introduce the notion of fuzzy hyperideals in hypernear-rings and investigate some related properties. Also, we characterize maximal fuzzy hyperideals and show that every maximal fuzzy hyperideal of a hypernear-ring is completely normal.

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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

    S. Yamak & O. Kazancı

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

    B. Davvaz

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

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Yamak, S., Kazancı, O. & Davvaz, B. Normal fuzzy hyperideals in hypernear-rings. Neural Comput & Applic 20, 25–30 (2011). https://doi.org/10.1007/s00521-010-0459-4

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  • DOI: https://doi.org/10.1007/s00521-010-0459-4

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