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International Journal of Neutrosophic Science
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Title

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

  M. Palanikumar 1 * ,   Aiyared Iampan 2 ,   K. Arulmozhi 3 ,   D. Iranian 4 ,   A. Seethalakshmy 5 ,   R. Raghavendran 6

1  Department of Advanced Mathematical Science, Saveetha School of Engineering, Saveetha University, Saveetha Institute of Medical and Technical Sciences, Chennai-602105, India
    (palanimaths86@gmail.com)

2  Fuzzy Algebras and Decision-Making Problems Research Unit, Department of Mathematics, School of Science, University of Phayao, Mae Ka, Mueang, Phayao 56000, Thailand
    (aiyared.ia@up.ac.th)

3  Department of Mathematics, Bharath Institute of Higher Education and Research, Tamil Nadu, Chennai-600073, India
    (arulmozhiems@gmail.com)

4  Department of Advanced Mathematical Science, Saveetha School of Engineering, Saveetha University, Saveetha Institute of Medical and Technical Sciences, Chennai-602105, India
    (mdiranian74@gmail.com)

5  Department of Advanced Mathematical Science, Saveetha School of Engineering, Saveetha University, Saveetha Institute of Medical and Technical Sciences, Chennai-602105, India
    (apseethalakshmy@gmail.com)

6  Department of Advanced Mathematical Science, Saveetha School of Engineering, Saveetha University, Saveetha Institute of Medical and Technical Sciences, Chennai-602105, India
    (lakshmiragha1986@gmail.com)

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

Received: June 02, 2022 Accepted: December 03, 2022

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; (τ1; τ2)-IVQ1NSBS; (τ1 , τ2)-IVQ1NNSBS; SBS; homomorphism.

References :

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Cite this Article as :
Style #
MLA M. Palanikumar, Aiyared 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. 20, No. 1, 2023 ,PP. 49-58 (Doi   :  https://doi.org/10.54216/IJNS.200104)
APA M. Palanikumar, Aiyared Iampan, K. Arulmozhi, D. Iranian, A. Seethalakshmy, R. Raghavendran. (2023). New approach towards (ζ1, ζ2)-interval valued Q1 neutrosophic subbisemirings of bisemirings and its extension. Journal of International Journal of Neutrosophic Science, 20 ( 1 ), 49-58 (Doi   :  https://doi.org/10.54216/IJNS.200104)
Chicago M. Palanikumar, Aiyared Iampan, K. Arulmozhi, D. Iranian, A. Seethalakshmy, R. Raghavendran. "New approach towards (ζ1, ζ2)-interval valued Q1 neutrosophic subbisemirings of bisemirings and its extension." Journal of International Journal of Neutrosophic Science, 20 no. 1 (2023): 49-58 (Doi   :  https://doi.org/10.54216/IJNS.200104)
Harvard M. Palanikumar, Aiyared Iampan, K. Arulmozhi, D. Iranian, A. Seethalakshmy, R. Raghavendran. (2023). New approach towards (ζ1, ζ2)-interval valued Q1 neutrosophic subbisemirings of bisemirings and its extension. Journal of International Journal of Neutrosophic Science, 20 ( 1 ), 49-58 (Doi   :  https://doi.org/10.54216/IJNS.200104)
Vancouver M. Palanikumar, Aiyared Iampan, K. Arulmozhi, D. Iranian, A. Seethalakshmy, R. Raghavendran. New approach towards (ζ1, ζ2)-interval valued Q1 neutrosophic subbisemirings of bisemirings and its extension. Journal of International Journal of Neutrosophic Science, (2023); 20 ( 1 ): 49-58 (Doi   :  https://doi.org/10.54216/IJNS.200104)
IEEE M. Palanikumar, Aiyared Iampan, K. Arulmozhi, D. Iranian, A. Seethalakshmy, R. Raghavendran, New approach towards (ζ1, ζ2)-interval valued Q1 neutrosophic subbisemirings of bisemirings and its extension, Journal of International Journal of Neutrosophic Science, Vol. 20 , No. 1 , (2023) : 49-58 (Doi   :  https://doi.org/10.54216/IJNS.200104)
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