The role of numbered air forces changed in the 1990s during the Air Force reorganization initiated by Air Force Chief of Staff General Merrill McPeak.
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In the air defense role, the squadron operated under Air Defense, Tactical Air Command (ADTAC), a named unit that operated at the numbered air force level of TAC.
With the F-4, the 113th returned to the air defense mission, becoming part of Air Defense, Tactical Air Command (ADTAC), a named unit at the Numbered Air Force echelon of TAC.
In October 1979, in as part of the inactivation of Aerospace Defense Command, the USAF gained command responsibilities which shifted to Tactical Air Command (TAC) and a sub-organization equivalent to a numbered air force designated as Air Defense, Tactical Air Command (ADTAC).