Anti-Gravity Force: Is the Unit a Negative Newton?

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If the unit of gravitational force is the Newton (where the value will be positive) would the unit for a hypothetical anti- gravitational force be a negative Newton?
 
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The sign of the force depends on your arbitrary coordinate system.
Is the depth of a well measured in "negative meters"? No, it is still meters.
 
So therefore the appropriate unit would still be the Newton?
 
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Einstein's Cat said:
So therefore the appropriate unit would still be the Newton?
Yes.