International Journal of Neutrosophic Science
IJNS
2690-6805
2692-6148
10.54216/IJNS
https://www.americaspg.com/journals/show/3118
2020
2020
New approach for subbisemiring of bisemiring is applied to complex cubic anti neutrosophic set and its extension
Department of Mathematics, School of Science, University of Phayao, 19 Moo 2,Tambon Mae Ka, Amphur Mueang, Phayao 56000, Thailand
Aiyared
Aiyared
Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai-602105, India
Murugan
Palanikumar
We construct and analyze the concept of complex cubic anti neutrosophic subbisemiring (ComCANSBS). We analyze the important properties and homomorphic aspects of ComCANSBS. For bisemirings, we propose the ComCANSBS level sets. A complex neutrosophic subset of bisemiring Ⓢ is represented by the symbol Γ if and only if each non-empty level set R(℘,κ), where R) = |ℜ⊤Γ ·eiθ z}|{ℑ⊤Γ ,z}|{ℜ גΓ ·eiθz}|{ℑ גΓ ,z}|{ℜΓ ·eiθz}|{ℑΓ ,ℜ⊤Γ ·eiθℑ⊤Γ ,ℜ גΓ · eiθℑ גΓ,ℜΓ · eiθℑΓ ) is a ComCANSBS of Ⓢ. Let Υ be a ComCANSBS of bisemiring Ⓢ. If and only if Υ is a ComCANSBS of Ⓢ × Ⓢ, then Γ is a ComCANSBS of bisemiring Ⓢ. Let Γ be the strongest complex anti neutrosophic relation of bisemiring Ⓢ. We show that homomorphic images of all ComCANSBSs are ComCANSBSs, and homomorphic pre-images of all ComCANSBSs are ComCANSBSs. There are examples given to illustrate our results.
2025
2025
93
116
10.54216/IJNS.250209
https://www.americaspg.com/articleinfo/21/show/3118