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Neutrosophic Permeable Values and Energetic Subsets with Applications in BCK / BCI -Algebras

Author

Listed:
  • Young Bae Jun

    (Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea)

  • Florentin Smarandache

    (Mathematics & Science Department, University of New Mexico, 705 Gurley Ave., Gallup, NM 87301, USA)

  • Seok-Zun Song

    (Department of Mathematics, Jeju National University, Jeju 63243, Korea)

  • Hashem Bordbar

    (Postdoctoral Research Fellow, Shahid Beheshti University, Tehran 1983969411, Iran)

Abstract

The concept of a ( ∈ , ∈ ) -neutrosophic ideal is introduced, and its characterizations are established. The notions of neutrosophic permeable values are introduced, and related properties are investigated. Conditions for the neutrosophic level sets to be energetic, right stable, and right vanished are discussed. Relations between neutrosophic permeable S - and I -values are considered.

Suggested Citation

  • Young Bae Jun & Florentin Smarandache & Seok-Zun Song & Hashem Bordbar, 2018. "Neutrosophic Permeable Values and Energetic Subsets with Applications in BCK / BCI -Algebras," Mathematics, MDPI, vol. 6(5), pages 1-16, May.
  • Handle: RePEc:gam:jmathe:v:6:y:2018:i:5:p:74-:d:145064
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