What's the noun for normativize? Here's the word you're looking for.
normalization
Any process that makes something more normal or regular, which typically means conforming to some regularity or rule, or returning from some state of abnormality.
“The normativeness of their behavior aligns with societal expectations and cultural values.”
“It may be that individuals have been, and continue to be, socialized in a way that differentially endorses the use and normativeness of sexually explicit media.”
“For these reasons an exact normativeness regulates the relations and the behaviours of the consultants who adhere to ACOFIIN and is expressed in the Code of Ethics.”
“We find new restrictions on the Hilbert space of pure gravity by imposing invariance under large diffeomorphisms and normalizability of the wave function.”