aspg-21-3036-1791468659
20261008141059
American Scientific Publishing Group
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American Scientific Publishing Group
International Journal of Neutrosophic Science
IJNS
2692-6148
2690-6805
2024
24
4
New algebraic structures approach towards complex interval valued Q-neutrosophic subbisemiring of bisemiring
Sharifah Sakinah Syed
ahmad
Department of Intelligent Computing & Analytics (ICA), Faculty of Information & Communication Technology, Universiti Teknikal Malaysia Melaka
Nasreen
Kausar
Faculty of Arts and Science, Yildiz Technical University, Esenler, 34220, Istanbul, Turkey
Murugan
Palanikumar
Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai-602105, India
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The notion of complex interval-valued q-neutrosophic subbisemiring (CIVqNSBS) is developed and examined. Additionally, we examine the homomorphic features and significant attributes of CIVqNSBS. We suggest the CIVqNSBS level sets for bisemirings. Consider a complex neutrosophic subset of bisemiring Δ, denoted as ℵ if and only if every non-empty level set Z(∂,♭) is a subbisemiring, where ∂, ♭ ∈ D[0, 1], then Z= )Z
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) is a CIVqNSBS of Δ. Let ℵ be the strongest complex neutrosophic relation of bisemiring Δ, and let Ψ be a CIVqNSBS of bisemiring Δ, if and only if Ψ is a CIVqNSBS of Δ × Δ, then ℵ is a CIVqNSBS of bisemiring Δ. We show that homomorphic images of all CIVqNSBSs are CIVqNSBSs, and homomorphic pre-images of all CIVqNSBSs are CIVqNSBSs. There are examples given to illustrate our results.
2024
451
463
3036
https://creativecommons.org/licenses/by/4.0/
10.54216/IJNS.240434
https://www.americaspg.com/journal/21/article/3036
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https://www.americaspg.com/storage/71722722402.pdf