Often one of the strengths of a strong leader is a strong commitment to opinions and perspectives. But we all know there are times when a leader should change their stance based on time or new evidence. Does this make a leader look weak when they change their mind? On the contrary---- it's a sign of intelligence and permission to change your mind can and should be fostered in a work environment.
Leaders might also try to model “mind-changing”: in response to valid evidence that their initial stance was wrong, leaders might label their behavior as being responsive to facts or simply say, loudly and clearly, “I was wrong.”