New algebraic structures approach towards complex interval valued Q-neutrosophic subbisemiring of bisemiring
International Journal of Neutrosophic Science, cilt.24, sa.4, ss.451-463, 2024 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 24 Sayı: 4
- Basım Tarihi: 2024
- Doi Numarası: 10.54216/ijns.240434
- Dergi Adı: International Journal of Neutrosophic Science
- Derginin Tarandığı İndeksler: Scopus, Applied Science & Technology Source
- Sayfa Sayıları: ss.451-463
- Anahtar Kelimeler: CIVqNNSBS, CIVqNSBS, Homomorphism, SBS
- Yıldız Teknik Üniversitesi Adresli: Evet
Özet
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.