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The phrase "a basis for deciding" is correct and usable in written English.
It can be used when discussing the foundation or reasoning behind a decision-making process.
Example: "The evidence presented in the report provides a solid basis for deciding the best course of action."
Alternatives: "a foundation for making a decision" or "a criterion for determining".
Exact(14)
Concepts offer a basis for deciding if certain changes will have significant effects.
A graphical display referred to as a control chart provides a basis for deciding whether the variation in the output of a process is due to common causes (randomly occurring variations) or to out-of-the-ordinary assignable causes.
But the problem that emerged during Tuesday's argument was the justices' evident concern that they lacked a basis for deciding whether, on the one hand, the Oregon courts had improperly allowed jurors to take into account the harm to nonplaintiffs, or on the other hand, had properly allowed consideration of the reprehensibility of the conduct by Philip Morris, a unit of Altria.
If then man as such has a function, we will have a basis for deciding whether someone is a good human being.
Recall the publicity condition discussed earlier: A feature of a well-ordered society is that its regulative principles of justice are publicly known and appealed to as a basis for deciding laws and justifying basic institutions.
Since the procedure can also take into account the aftershock ground motion hazard, an annual limit-state frequency estimated for a damaged building can serve as a basis for deciding, for example, whether to permit occupancy soon after the main-shock.
Similar(45)
By comparison, how actual irrational individuals will react to a new vaccine is arguably not a good basis for deciding whether or not a vaccine should be licensed, because licensing decisions should be based on scientific data.
Worse yet, a planner with no measure of cost has only a limited basis for deciding what to count as containing cost.
That seems like a trivial basis for deciding which products may be flavored and which may not.
Longino (1993b) argues that standpoint theory cannot provide a noncircular basis for deciding which standpoints have epistemic privilege.
Correctly monitoring the convergence rate of simplified Newton iterations improves the implementation too, by providing a sound basis for deciding on Jacobian updates.
More suggestions(15)
a basis for devising
a basis for restricting
a formula for deciding
a basis for qualifying
a basis for changing
a deadline for deciding
a tool for deciding
a basis for identifying
a basis for studying
a guide for deciding
a basis for suing
a basis for involving
a procedure for deciding
a process for deciding
a framework for deciding
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com