ASPG Menu
search

American Scientific Publishing Group

verified Journal

International Journal of Neutrosophic Science

ISSN
Online: 2690-6805 Print: 2692-6148
Frequency

Continuous publication

Publication Model

Open access journal. All articles are freely available online with no APC.

Submit Manuscript send
International Journal of Neutrosophic Science
Full Length Article

Volume 20 • Issue 4 • PP: 223-231 • 2023

Applications in KU-algebras based on BMBJ-neutrosophic Structures

S. Manivasan 1*
mail
,
P. Kalidass 1
mail
1Department of Mathematics, Annamalai University, Annamalai Nagar - 608 002, India.
* Corresponding Author.
DOI https://doi.org/10.54216/IJNS.200420
format_quote Cite this article
verified

Open Access & Copyright

© 2023 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received: December 15, 2022 Accepted: April 12, 2023
PDF Icon View PDF open_in_new

Abstract

We introduce BMBJ-neutrosophic sets and subalgebras as a generalisation of neutrosophic sets, and examine their application and related features to KU-algebras in this paper. We give various BMBJ-neutrosophic subalgebra characterizations, and we suggest a new BMBJ-neutrosophic subalgebra by utilizing a BMBJneutrosophic subalgebra of aKU-algebra. We look at the homomorphic inverse image of BMBJ-neutrosophic subalgebra and BMBJ-neutrosophic subalgebra translation.

Keywords

BMBJ-N set BMBJ-NSA BMBJ-neutrosophic S-extension.

References

[1] Bijan Davvaz, Samy M. Mostafa and Fatema F. Kareem, Neutrosophic ideals of neutrosophic KUalgebras, GU J Sci., 30 (4), (2017), 463-472.

[2] M. Mohseni Takallo, R. A. Borzooei and Young Bae Jun, MBJ-neutrosophic structures and its applications in BCK/BCI-algebras, Neutrosophic Sets and Systems, 23, (2018), 72-84.

[3] S. M. Mostafa, M. A. Abd-Elnaby and M. M. M. Yousef, Fuzzy ideals of KU-algebras, International Math Forum., 6 (63) (2011) 3139-3149.

[4] C. Prabpayak and U. Leerawat, On ideals and congruence in KU-algebras, Scientia Magna Journal, 5 (1) (2009), 54-57.

[5] C. Prabpayak and U. Leerawat, On isomorphisms of KU-algebras, Scientia Magna Journal, 5 (3) (2009), 25-31.

[6] F. Smarandache, Neutrosophy, Neutrosophic Probability, Set, and Logic, ProQuest Information & Learning, Ann Arbor, Michigan, USA, 105 (1998). http://fs.gallup.unm.edu/eBook-neutrosophics6.pdf(last edition online).

[7] F. Smarandache, A unifying field in logics. Neutrosophy: Neutrosophic probabilFy, set and logic, Rehoboth: American Research Press (1999).

[8] F. Smarandache, Neutrosophic set, a generalization of intuitionistic fuzzy sets, International Journal of Pure and Applied Mathematics, 24 (5) (2005), 287-297.

[9] L. A. Zadeh, Fuzzy sets, Information and Control, 8 (3) (1965), 338-353.

 

Cite This Article

Choose your preferred format

format_quote
Manivasan, S., Kalidass, P.. "Applications in KU-algebras based on BMBJ-neutrosophic Structures." International Journal of Neutrosophic Science, vol. Volume 20, no. Issue 4, 2023, pp. 223-231. DOI: https://doi.org/10.54216/IJNS.200420
Manivasan, S., Kalidass, P. (2023). Applications in KU-algebras based on BMBJ-neutrosophic Structures. International Journal of Neutrosophic Science, Volume 20(Issue 4), 223-231. DOI: https://doi.org/10.54216/IJNS.200420
Manivasan, S., Kalidass, P.. "Applications in KU-algebras based on BMBJ-neutrosophic Structures." International Journal of Neutrosophic Science Volume 20, no. Issue 4 (2023): 223-231. DOI: https://doi.org/10.54216/IJNS.200420
Manivasan, S., Kalidass, P. (2023) 'Applications in KU-algebras based on BMBJ-neutrosophic Structures', International Journal of Neutrosophic Science, Volume 20(Issue 4), pp. 223-231. DOI: https://doi.org/10.54216/IJNS.200420
Manivasan S, Kalidass P. Applications in KU-algebras based on BMBJ-neutrosophic Structures. International Journal of Neutrosophic Science. 2023;Volume 20(Issue 4):223-231. DOI: https://doi.org/10.54216/IJNS.200420
S. Manivasan, P. Kalidass, "Applications in KU-algebras based on BMBJ-neutrosophic Structures," International Journal of Neutrosophic Science, vol. Volume 20, no. Issue 4, pp. 223-231, 2023. DOI: https://doi.org/10.54216/IJNS.200420
policy

Publisher's Note

The statements, opinions, and data presented in this article are solely those of the author(s) and do not necessarily represent those of ASPG, the journal, or its editors. ASPG and the editors disclaim responsibility for any harm arising from the use of any ideas, methods, instructions, or products described in this article, to the fullest extent permitted by applicable law.

Digital Archive Ready