Vexillology is the scientific study of the history, symbolism and usage of flags or, by extension, any interest in flags in general. The word is a synthesis of the Latin word vexillum ("flag") and the Greek suffix -logia ("study.") The constitution of the International Federation of Vexillological Associations (known by its French acronym, FIAV) formally defines vexillology as "the creation and development of a body of knowledge about flags of all types, their forms and functions, and of scientific theories and principles based on that knowledge."

A person who studies flags is a vexillologist; vexillography is the art of designing flags; one who does so is a vexillographer; an admirer of flags is a vexillophile.

More Info: en.wikipedia.org