| Abstrakt: |
We introduce the notion of q-neutrosophic cubic vague subbisemiring (q-NSCVSBS) and level set of q-NSCVSBS of a bisemiring. The q-NSCVSBS is a new concept of subbisemirings of bisemirings. Let Ξ be a neutrosophic vague subset of Λ. Then 0 = ([T-Ξ, T+Ξ ], [I-Ξ, I+Ξ ], [F-Ξ, F+Ξ ]) is a q-NSCVSBS of Λ if and only if all non empty level set 0(ϱ1,ϱ2,s) is also a SBS of Λ for every ϱ1, ϱ2, s ∈ [0, 1]. Let Ξ be the q-NSCVSBS of Λ and Υ be the strongest cubic q-neutrosophic vague relation of Λ. Then Ξ is a q-NSCVSBS of Λ × Λ. Let Ξ be the q-NSCVSBS of Λ, show that pseudo cubic q-neutrosophic vague coset (ςΞ)p is also a q-NSCVSBS of Λ, for all ς ∈ Λ. Let Ξ1,Ξ2, ...,Ξn be the any family of q - NSCV SBSs of Λ1,Λ2, ...,Λn respectively, then Ξ1 × Ξ2 × ... × Ξn is also a q-NSCVSBS of Λ1 × Λ2 × ... × Λn. The homomorphic image of every q-NSCVSBS is also a q-NSCVSBS. The homomorphic pre-image of every q-NSCVSBS is also a q-NSCVSBS. [ABSTRACT FROM AUTHOR] |
