The Socialist Federal Republic of Yugoslavia was the Yugoslav state that existed from the second half of World War II ( 1943 ) until it was formally dissolved in 1992 ( de facto dissolved in 1991 with no leaders representing it ) amid the Yugoslav wars . The Socialist Federal Republic of Yugoslavia ( SFRY ) was the Yugoslav state that existed from the second half of World War II ( 1943 ) until it was formally dissolved in 1992 amid the Yugoslav Wars .