New algebraic extension of interval valued Q-neutrosophic normal subbisemirings of bisemirings

M.; K.; Aiyared; Said

doi:https://doi.org/10.54216/IJNS.200109

Full Length Article

Volume 20 • Issue 1 • PP: 106-118 • 2023

New algebraic extension of interval valued Q-neutrosophic normal subbisemirings of bisemirings

M. Palanikumar ^1*

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,

K. Arulmozhi ²

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,

Aiyared Iampan ³

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,

Said Broumi ⁴

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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

²Department of Mathematics, Bharath Institute of Higher Education and Research, Tamil Nadu, Chennai-600073, India

³Fuzzy Algebras and Decision-Making Problems Research Unit, Department of Mathematics, School of Science, University of Phayao, Mae Ka, Mueang, Phayao 56000, Thailand

⁴Laboratory of Information Processing, Faculty of Science Ben M’Sik, Universit´s Hassan II, BP 7955 Casablanca, Morocco

* Corresponding Author.

DOI https://doi.org/10.54216/IJNS.200109

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Received: July 08, 2022 Accepted: December 22, 2022

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Abstract

In this research article, we introduce the notions of interval valued Q-neutrosophic subbisemirings (IVQNSSBSs), level sets of an IVQNSSBS and interval valued Q-neutrosophic normal subbisemirings (IVQNSNSBSs) of bisemirings. Let Y ⃗ be an interval valued Q-neutrosophic set (IVQNS set) in a bisemiring 〆. Prove that Y ⃗ is an IVQNSSBS of S if and only if all nonempty level set Ξ(t,s) ⃗ is a subbisemiring (SBS) of S for t, s ∈ D[0, 1]. Let Y ⃗ be an IVQNSSBS of a bisemiring 〆 and V ⃗ be the strongest interval valued Qneutrosophic relation of 〆. Prove that Y ⃗ is an IVQNSSBS of S if and only if V ⃗ is an IVQNSSBS of 〆 × 〆. We illustrate homomorphic image of IVQNSSBS is an IVQNSSBS. Prove that homomorphic preimage of IVQNSSBS is an IVQNSSBS. Examples are given to demonstrate our findings.

Keywords

interval valuedQ-neutrosophic subbisemiring interval valuedQ-neutrosophic normal subbisemiring subbisemiring homomorphism.

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Palanikumar, M., Arulmozhi, K., Iampan, Aiyared, Broumi, Said. "New algebraic extension of interval valued Q-neutrosophic normal subbisemirings of bisemirings." International Journal of Neutrosophic Science, vol. Volume 20, no. Issue 1, 2023, pp. 106-118. DOI: https://doi.org/10.54216/IJNS.200109

Palanikumar, M., Arulmozhi, K., Iampan, A., Broumi, S. (2023). New algebraic extension of interval valued Q-neutrosophic normal subbisemirings of bisemirings. International Journal of Neutrosophic Science, Volume 20(Issue 1), 106-118. DOI: https://doi.org/10.54216/IJNS.200109

Palanikumar, M., Arulmozhi, K., Iampan, Aiyared, Broumi, Said. "New algebraic extension of interval valued Q-neutrosophic normal subbisemirings of bisemirings." International Journal of Neutrosophic Science Volume 20, no. Issue 1 (2023): 106-118. DOI: https://doi.org/10.54216/IJNS.200109

Palanikumar, M., Arulmozhi, K., Iampan, A., Broumi, S. (2023) 'New algebraic extension of interval valued Q-neutrosophic normal subbisemirings of bisemirings', International Journal of Neutrosophic Science, Volume 20(Issue 1), pp. 106-118. DOI: https://doi.org/10.54216/IJNS.200109

Palanikumar M, Arulmozhi K, Iampan A, Broumi S. New algebraic extension of interval valued Q-neutrosophic normal subbisemirings of bisemirings. International Journal of Neutrosophic Science. 2023;Volume 20(Issue 1):106-118. DOI: https://doi.org/10.54216/IJNS.200109

M. Palanikumar, K. Arulmozhi, A. Iampan, S. Broumi, "New algebraic extension of interval valued Q-neutrosophic normal subbisemirings of bisemirings," International Journal of Neutrosophic Science, vol. Volume 20, no. Issue 1, pp. 106-118, 2023. DOI: https://doi.org/10.54216/IJNS.200109

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