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

M.; Aiyared; K.; D.; A.; R.

doi:https://doi.org/10.54216/IJNS.200104

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

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,

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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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

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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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