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A neutrosophic number (NN) is a useful mathematical tool in indeterminacy theory. As the mixed form of an intuitionistic fuzzy set and NN, an orthopair neutrosophic number (ONN) can express the true indeterminate degree and the false indeterminate degree. In view of generalized ordered weighted operators, this article presents two generalized ordered weighted operators of ONNs, including an orthopair neutrosophic number generalized ordered weighted average (ONNGOWA) operator and an orthopair neutrosophic number generalized ordered weighted geometric (ONNGOWG) operator, and their characteristics. A multi-attribute decision-making (MADM) model is established by the weighted operation of the ONNGOWA and ONNGOWG operators. Finally, an example on the selection problem of electric vehicle design schemes is given to reflect the effectivity of the proposed MADM model in the scenario of ONNs.