The Collaborative International Dictionary of English v.0.48:
Strong-minded \Strong"-mind`ed\, a. Having a vigorous mind; esp., having or affecting masculine qualities of mind; -- said of women. -- Strong"-mind`ed*ness, n. [1913 Webster]WordNet (r) 3.0 (2006):
strong-minded adj 1: having a determined will [syn: strong-minded, strong- willed] 2: marked by vigorous independence of thought and judgment