Source : Webster's Revised Unabridged Dictionary (1913)

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.

Source : WordNet®

strong-minded
     adj 1: having a determined will [syn: {strong-willed}]
     2: marked by vigorous independence of thought and judgment