New algebraic structures approach towards complex interval valued Q-neutrosophic subbisemiring of bisemiring

Ahmad S. S. S., KAUSAR N., Palanikumar M.

International Journal of Neutrosophic Science, vol.24, no.4, pp.451-463, 2024 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 24 Issue: 4
  • Publication Date: 2024
  • Doi Number: 10.54216/ijns.240434
  • Journal Name: International Journal of Neutrosophic Science
  • Journal Indexes: Scopus, Applied Science & Technology Source
  • Page Numbers: pp.451-463
  • Keywords: CIVqNNSBS, CIVqNSBS, Homomorphism, SBS
  • Yıldız Technical University Affiliated: Yes

Abstract

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 ∆, denoted as(Formula Presented), if and only if every non-empty level set (Formula Presented) is a subbisemiring, where ∂, ♭ ∈ ⅅ[0, 1], then(Formula Presented) is a CIVqNSBS of ∆. Let (Formula Presented) be the strongest complex neutrosophic relation of bisemiring ∆, and let (Formula Presented) be a CIVqNSBS of bisemiring ∆, if and only if (Formula Presented) is a CIVqNSBS of ∆ × ∆, then(Formula Presented) is a CIVqNSBS of bisemiring ∆. 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.