Step 1: Define the term precisely.
A {unipolar} international system is one in which a single state enjoys decisive superiority in military capability, economic size, technological leadership, and agenda-setting power in institutions; no other power or coalition can balance it in the short run.
Step 2: Trace the transition from bipolarity.
From 1945--1991, the world was {bipolar} (USA vs USSR). The disintegration of the Soviet Union in 1991 removed the USA’s only true peer competitor.
Step 3: Examine indicators of dominance.
Through the 1990s/2000s, the U.S. share of global defense expenditure, the worldwide network of military bases, leadership in finance (dollar system), technology (Silicon Valley), and culture (media, universities) created a unique predominance sometimes called the ``unipolar moment.''
Step 4: Eliminate distractors.
Russia's power collapsed in the 1990s; China and the EU grew later but were not near-parity in that period; France is not a global hegemon by itself.
Step 5: Conclude.
\[
\boxed{\text{United States of America (Option B) established the unipolar order after 1991.}}
\]