It does seem vague. But I think the problem is you are leaving out a third, necessary element. Theories are based on facts (and so, in some ways, are criteria).
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alc24One little thing please?Dr. D already gave you the answer. Your sentences are illogical and
What do you think about:
The criteria is based on a theory.
Is that possible
or
The theory is based on the criteria.
Thank you