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

Young Bae Jun, Florentin Smarandache, Seok-Zun Song and Hashem Bordbar
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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

Mathematics, 2018, vol. 6, issue 5, 1-16

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.

Keywords: (∈,∈)-neutrosophic subalgebra; (∈,∈)-neutrosophic ideal; neutrosophic (anti-)permeable S-value; neutrosophic (anti-)permeable I-value; S-energetic set; I-energetic set (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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