Public relations was a field that dealt with the promotion and management of public opinions of a person or business.
In 2024, surprised that he was unrecognized by Jadzia Dax, Christopher Brynner said he'd have to have a talk with his public relations people. (DS9: "Past Tense, Part I")
In 2373, Gaila asked Quark to aid his weapons dealing by helping out with the public relations, something he felt was one of the Ferengi's strengths. (DS9: "Business as Usual")