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International Journal of Neutrosophic Science

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

Continuous publication

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Open access · Articles freely available online · APC applies after acceptance

International Journal of Neutrosophic Science
Full Length Article

Volume 20Issue 4PP: 223-231 • 2023

Applications in KU-algebras based on BMBJ-neutrosophic Structures

S. Manivasan 1* ,
P. Kalidass 1
1Department of Mathematics, Annamalai University, Annamalai Nagar - 608 002, India.
* Corresponding Author.
Received: December 15, 2022 Accepted: April 12, 2023

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

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[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).

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

 

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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
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