Further results on(∈,∈)-neutrosophic subalgebras and ideals inBCK/BCI-algebras

Authors

  • G. Muhiuddin Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia
  • Hashem Bordbar Postdoctoral Research Fellow, Shahid Beheshti University, Tehran, Iran
  • Florentin Smarandache University of New Mexico, Math & Science Division, 705 Gurley Ave., Gallup, NM 87301, USA
  • Young Bae Jun Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea.

Keywords:

(∈,∈)-neutrosophic subalgebra,(∈,∈)-neutrosophic ideal

Abstract

Characterizations of an(∈,∈)-neutrosophic ideal are considered. Any ideal in a BCK/BCI-algebra will be realized as level neutrosophic ideals of some(∈,∈)-neutrosophic ideal. The relation between(∈,∈)-neutrosophic ideal and(∈,∈)-neutrosophic subalgebra in aBCK-algebra is discussed. Conditions for an(∈,∈)-neutrosophic subalgebra to be a(∈,∈)-neutrosophic ideal are provided. Using a collection of ideals in a BCK/BCI-algebra, an(∈,∈)-neutrosophic ideal is established. Equivalence relations on the family of all(∈,∈)-neutrosophic ideals are introduced, and related properties are investigated

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Published

2018-04-28

Issue

Vol. 20 (2018): Neutrosophic Sets and Systems

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

Muhiuddin, G. ., Bordbar, H. ., Smarandache, F., & Jun, Y. B. (2018). Further results on(∈,∈)-neutrosophic subalgebras and ideals inBCK/BCI-algebras. Neutrosophic Sets and Systems, 20, 36-43. http://fs.unm.edu/nss8/index.php/111/article/view/282

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