This paper introduces the novel concept of neutro-d-algebra. In neutro-d-algebra, the outcome of any given two elements under an underlying operation (neutro-sophication procedure) has three cases, such as: Appurtenance, non-appurtenance, or indeterminate and for an axiom: Equal, non-equal, or indeterminate. This study investigates the neutro-d-algebra and shows that neutro-d-algebra is different from d-algebra. The notation of neutro-d-algebra generates a new concept of neutro poset. Finally, we introduce a notation of neutro d-homomorphism and extend the structure of neutro-d-algebras.
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