The phrase "affected the set of" is correct and usable in written English.
It can be used when discussing how something has influenced or changed a particular group or collection of items, ideas, or conditions.
Example: "The new policy affected the set of regulations that govern employee conduct."
Alternatives: "influenced the group of" or "impacted the collection of".
We show that the dimension of the consumption space affects the set of revealed preference relations.
Since stress does not affect the set of stronger statements, the Levinsonian derivation would predict the same limiting implicatures no matter what is stressed.
A propositional formula in Conjunctive Normal Form (CNF) may contain redundant clauses — clauses whose removal from the formula does not affect the set of its models.
The basic Hebbian learning rule is unstable, and the manner in which stability is maintained would affect the set of stable fixed points [33].
I think investors are aware of the connection between temperament and success as an entrepreneur, but I don't think they understand the way in which it affects the set of investment options that are eventually made available to them.
Taken together these principles express that inference is a cumulative enterprise: we can keep drawing consequences that can in turn be used as additional premises, without affecting the set of conclusions.
As pointed out by Taavitsainen (2001: 141), we assume that genres or text types involve particular codifications of linguistic features and, in consequence, the choice of a given genre or text type affects the set of grammatical choices.
The likelihood is high that some other genetic variants that are not in LD with DAT1 traits also affect the set of risky health behaviors we have examined.
Regularity is about the possibility of alternative sets of potentially relevant cell fates, the differences of which however do not affect the set of actually considered fates.
