Volume 24 • Issue 4 • PP: 451-463 • 2024
New algebraic structures approach towards complex interval valued Q-neutrosophic subbisemiring of bisemiring
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© 2024 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
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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
,Z, Z
) 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.
Keywords
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