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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science
Full Length Article

Volume 20 • Issue 1 • PP: 49-58 • 2023

New approach towards (ζ1, ζ2)-interval valued Q1 neutrosophic subbisemirings of bisemirings and its extension

M. Palanikumar 1*
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,
Aiyared Iampan 2
mail
,
K. Arulmozhi 3
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,
D. Iranian 1
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,
A. Seethalakshmy 1
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,
R. Raghavendran 1
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1Department of Advanced Mathematical Science, Saveetha School of Engineering, Saveetha University, Saveetha Institute of Medical and Technical Sciences, Chennai-602105, India
2Fuzzy Algebras and Decision-Making Problems Research Unit, Department of Mathematics, School of Science, University of Phayao, Mae Ka, Mueang, Phayao 56000, Thailand
3Department of Mathematics, Bharath Institute of Higher Education and Research, Tamil Nadu, Chennai-600073, India
* Corresponding Author.
DOI https://doi.org/10.54216/IJNS.200104
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© 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: June 02, 2022 Accepted: December 03, 2022
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Abstract

We introduce the notions of (τ1, τ2)-interval valued Q1 neutrosophic subbisemirings (IVQ1NSBSs), level

sets of a (τ1, τ2)-IVQ1NSBS, and (τ1, τ2)-interval valued Q1 neutrosophic normal subbisemirings ((τ1, τ2)-

IVQ1NNSBS) of a bisemiring. Let cZ1 be a (τ1, τ2)-IVQ1NSBS of a bisemiring M and bV be the strongest

(τ1, τ2)-interval valued Q1 neutrosophic relation of M. To illustrate cZ1 is a (τ1, τ2)-IVQ1NSBS of M if and

only if bV is a (τ1, τ2)-IVQ1NSBS of M ⋇ M. We show that homomorphic image of (τ1, τ2)-IVQ1NSBS is

again a (τ1, τ2)-IVQ1NSBS. To determine homomorphic pre-image of (τ1, τ2)-IVQ1NSBS is also a (τ1, τ2)-

IVQ1NSBS. Examples are given to strengthen our results.

Keywords

bisemiring (&tau 1 &tau 2)-IVQ1NSBS (&tau 1 &tau 2)-IVQ1NNSBS SBS homomorphism.

References

[1] A. B. AL-Nafee, S. Broumi, L. A. Swidi, n-Valued refined neutrosophic crisp sets, International Journal

of Neutrosophic Science, vol. 17, no. 2, pp. 87-95, 2021.

[2] J. Ahsan, K. Saifullah, F. Khan, Fuzzy semirings, Fuzzy Sets and systems, vol. 60, pp. 309-320, 1993.

[3] S. Ashraf, S. Abdullah, T. Mahmood, F. Ghani, T. Mahmood, Spherical fuzzy sets and their applications

in multi-attribute decision making problems, Journal of Intelligent and Fuzzy Systems, vol. 36, pp. 2829-

2844, 2019.

[4] K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, vol. 20, no. 1, pp. 87-96, 1986.

[5] B. C. Cuong, V. Kreinovich, Picture fuzzy sets a new concept for computational intelligence problems,

Proceedings of 2013 Third World Congress on Information and Communication Technologies (WICT

2013), IEEE, pp. 1-6, 2013.

[6] F. Hussian, R. M. Hashism, A. Khan, M. Naeem, Generalization of bisemirings, International Journal of

Computer Science and Information Security, vol. 14, no. 9, pp. 275-289, 2016.

[7] S. J. Golan, Semirings and their applications, Kluwer Academic Publishers, London, 1999.

[8] M. Lathamaheswari, S. Broumi, F. Smarandache, S. Sudha, Neutrosophic perspective of neutrosophic

probability distributions and its application, International Journal of Neutrosophic Science, vol. 17, no.

2, pp. 96-109, 2021.

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Palanikumar, M., Iampan, Aiyared, Arulmozhi, K., Iranian, D., Seethalakshmy, A., Raghavendran, R.. "New approach towards (ζ1, ζ2)-interval valued Q1 neutrosophic subbisemirings of bisemirings and its extension." International Journal of Neutrosophic Science, vol. Volume 20, no. Issue 1, 2023, pp. 49-58. DOI: https://doi.org/10.54216/IJNS.200104
Palanikumar, M., Iampan, A., Arulmozhi, K., Iranian, D., Seethalakshmy, A., Raghavendran, R. (2023). New approach towards (ζ1, ζ2)-interval valued Q1 neutrosophic subbisemirings of bisemirings and its extension. International Journal of Neutrosophic Science, Volume 20(Issue 1), 49-58. DOI: https://doi.org/10.54216/IJNS.200104
Palanikumar, M., Iampan, Aiyared, Arulmozhi, K., Iranian, D., Seethalakshmy, A., Raghavendran, R.. "New approach towards (ζ1, ζ2)-interval valued Q1 neutrosophic subbisemirings of bisemirings and its extension." International Journal of Neutrosophic Science Volume 20, no. Issue 1 (2023): 49-58. DOI: https://doi.org/10.54216/IJNS.200104
Palanikumar, M., Iampan, A., Arulmozhi, K., Iranian, D., Seethalakshmy, A., Raghavendran, R. (2023) 'New approach towards (ζ1, ζ2)-interval valued Q1 neutrosophic subbisemirings of bisemirings and its extension', International Journal of Neutrosophic Science, Volume 20(Issue 1), pp. 49-58. DOI: https://doi.org/10.54216/IJNS.200104
Palanikumar M, Iampan A, Arulmozhi K, Iranian D, Seethalakshmy A, Raghavendran R. New approach towards (ζ1, ζ2)-interval valued Q1 neutrosophic subbisemirings of bisemirings and its extension. International Journal of Neutrosophic Science. 2023;Volume 20(Issue 1):49-58. DOI: https://doi.org/10.54216/IJNS.200104
M. Palanikumar, A. Iampan, K. Arulmozhi, D. Iranian, A. Seethalakshmy, R. Raghavendran, "New approach towards (ζ1, ζ2)-interval valued Q1 neutrosophic subbisemirings of bisemirings and its extension," International Journal of Neutrosophic Science, vol. Volume 20, no. Issue 1, pp. 49-58, 2023. DOI: https://doi.org/10.54216/IJNS.200104
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