Neutrosophic quadruple ideals in neutrosophic quadruple BCI-algebras

Authors

  • G. Muhiuddin Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia
  • Florentin Smarandache Department of Mathematics, University of New Mexico, Gallup, NM 87301, USA
  • Young Bae Jun Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea.

Keywords:

neutrosophic quadruple BCK/BCI-number, neutrosophic quadruple BCK/BCI-algebra, (regular) neutrosophic quadruple ideal, neutrosophic quadruple q-ideal.

Abstract

In the present paper, we discuss the Neutrosophic quadruple q-ideals and (regular) neutrosophic quadruple ideals and investigate their related properties. Also, for any two nonempty subsets U and V of a BCI-algebra S, conditions for the set NQ(U; V ) to be a (regular) neutrosophic quadruple ideal and a neutrosophic quadruple q-ideal of a neutrosophic quadruple BCI-algebra NQ(S) are discussed. Furthermore, we prove that let U; V; I and J be ideals of a BCI-algebra S such that I ⊆ U and J ⊆ V . If I and J are q-ideals of S, then the neutrosophic quadruple
(U; V )-set NQ(U; V ) is a neutrosophic quadruple q-ideal of NQ(S).

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Published

2020-09-02

Issue

Vol. 25 (2019): 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. ., Smarandache, F., & Jun, Y. B. . (2020). Neutrosophic quadruple ideals in neutrosophic quadruple BCI-algebras. Neutrosophic Sets and Systems, 25, 161-173. https://fs.unm.edu/nss8/index.php/111/article/view/170

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