The term affiliation is from 1751, "adoption," from French affiliation, from Medieval Latin affiliationem (nominative affiliatio), noun of action from past-participle stem of Latin affiliare "to adopt as a son," from ad "to" (see ad-) + filius "son" (see filial). Figurative sense of "adoption by a society, of branches" first recorded 1799.
Affiliation exists when one business controls or has the power to control another or when a third party (or parties) controls or has the power to control both businesses. Control may arise through ownership, management, or other relationships or interactions between the parties. Affiliate marketing is where you sign up with a company or a network to sell their products or services. Affiliations are driving the business world.
Adoptions of signs, branch into an unknown space, power and control